An adviser in student services would like to estimate the average monthly car payment of all IRSC students. From past research, it is known that the standard deviation of the distribution of all IRSC student car payments is $49. Determine the sample size necessary such that the margin of error of the estimate for a 96% confidence interval for the average monthly car payment of all IRSC students is at most $4.74. Round the solution up to the nearest whole number.

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