An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. He believes that the mean income is $21.1$⁢21.1, and the variance is known to be $42.25$⁢42.25. How large of a sample would be required in order to estimate the mean per capita income at the 98%98% level of confidence with an error of at most $0.42$⁢0.42? Round your answer up to the next integer.

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