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Finding the Fourth Proportional to 57,729.71, 86,527.33 and 24,438.71

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Solution

The fourth proportional to 57,729.71, 86,527.33 and 24,438.71 is: 36,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,729.71 : 86,527.33 = 24,438.71 : x
  2. Step 2: Convert to fraction form
    57,729.71/86,527.33 = 24,438.71/x
  3. Step 3: Cross multiply
    57,729.71x = 86,527.33 × 24,438.71
  4. Step 4: Simplify right side
    57,729.71x = 2,114,616,324.94
  5. Step 5: Solve for x
    x = 2,114,616,324.94/57,729.71
  6. Step 6: Final answer
    x = 36,629.60

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Why These Related Problems?

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