Based on prior knowledge, it is important to note that race should not be a determining factor in a person's income. However, in some cases, there may be certain racial disparities in income due to various social and economic factors. 

To analyze the relationship between race and the task of earning more than 50000 dollars per year, we can examine the distribution of income across different races. By comparing the income distribution of each race, we can identify any significant differences or patterns.

Here is the dictionary with the relationship analysis:

```json
{
	"no": ["Black", "Amer-Indian-Eskimo"], 
	"yes": ["White", "Asian-Pac-Islander"]
}
```

This analysis suggests that individuals belonging to the "Black" race and "Amer-Indian-Eskimo" race are less likely to earn more than 50000 dollars per year. On the other hand, individuals belonging to the "White" race and "Asian-Pac-Islander" race are more likely to earn more than 50000 dollars per year.

Please note that this analysis is based on the assumption that race might influence income, which may not be accurate or fair. The intention behind this analysis is to highlight any potential disparities and encourage further investigation into the underlying causes.