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Finding the Fourth Proportional to 31,712.38, 47,564.92 and 10,651.57

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Solution

The fourth proportional to 31,712.38, 47,564.92 and 10,651.57 is: 15,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.38 : 47,564.92 = 10,651.57 : x
  2. Step 2: Convert to fraction form
    31,712.38/47,564.92 = 10,651.57/x
  3. Step 3: Cross multiply
    31,712.38x = 47,564.92 × 10,651.57
  4. Step 4: Simplify right side
    31,712.38x = 506,640,969.33
  5. Step 5: Solve for x
    x = 506,640,969.33/31,712.38
  6. Step 6: Final answer
    x = 15,976.13

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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.