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Finding the Fourth Proportional to 31,591.54, 47,371.47 and 10,524.18

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Solution

The fourth proportional to 31,591.54, 47,371.47 and 10,524.18 is: 15,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591.54 : 47,371.47 = 10,524.18 : x
  2. Step 2: Convert to fraction form
    31,591.54/47,371.47 = 10,524.18/x
  3. Step 3: Cross multiply
    31,591.54x = 47,371.47 × 10,524.18
  4. Step 4: Simplify right side
    31,591.54x = 498,545,877.14
  5. Step 5: Solve for x
    x = 498,545,877.14/31,591.54
  6. Step 6: Final answer
    x = 15,780.99

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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.