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Finding the Fourth Proportional to 31,877.72, 47,816.52 and 15,187.12

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Solution

The fourth proportional to 31,877.72, 47,816.52 and 15,187.12 is: 22,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,877.72 : 47,816.52 = 15,187.12 : x
  2. Step 2: Convert to fraction form
    31,877.72/47,816.52 = 15,187.12/x
  3. Step 3: Cross multiply
    31,877.72x = 47,816.52 × 15,187.12
  4. Step 4: Simplify right side
    31,877.72x = 726,195,227.22
  5. Step 5: Solve for x
    x = 726,195,227.22/31,877.72
  6. Step 6: Final answer
    x = 22,780.65

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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.