To find the ratio of the number of female passengers to the total number of passengers on the airplane, we first calculate the total number of passengers.
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Calculate the total number of passengers: \[ \text{Total passengers} = \text{Number of men} + \text{Number of women} = 52 + 23 = 75 \]
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Find the ratio of female passengers to the total number of passengers: \[ \text{Ratio of female passengers} = \frac{\text{Number of women}}{\text{Total passengers}} = \frac{23}{75} \]
Thus, the ratio of the number of female passengers to the total number of passengers is \( \frac{23}{75} \) or in decimal form, approximately 0.3067.