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Finding the Fourth Proportional to 31,387.52, 47,081.37 and 7,695.17

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Solution

The fourth proportional to 31,387.52, 47,081.37 and 7,695.17 is: 11,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,387.52 : 47,081.37 = 7,695.17 : x
  2. Step 2: Convert to fraction form
    31,387.52/47,081.37 = 7,695.17/x
  3. Step 3: Cross multiply
    31,387.52x = 47,081.37 × 7,695.17
  4. Step 4: Simplify right side
    31,387.52x = 362,299,337.54
  5. Step 5: Solve for x
    x = 362,299,337.54/31,387.52
  6. Step 6: Final answer
    x = 11,542.78

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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.