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Finding the Fourth Proportional to 32,938.79, 49,409.54 and 9,565.23

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Solution

The fourth proportional to 32,938.79, 49,409.54 and 9,565.23 is: 14,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.79 : 49,409.54 = 9,565.23 : x
  2. Step 2: Convert to fraction form
    32,938.79/49,409.54 = 9,565.23/x
  3. Step 3: Cross multiply
    32,938.79x = 49,409.54 × 9,565.23
  4. Step 4: Simplify right side
    32,938.79x = 472,613,614.29
  5. Step 5: Solve for x
    x = 472,613,614.29/32,938.79
  6. Step 6: Final answer
    x = 14,348.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.