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Finding the Fourth Proportional to 31,760.71, 47,647.14 and 15,128.57

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Solution

The fourth proportional to 31,760.71, 47,647.14 and 15,128.57 is: 22,695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,760.71 : 47,647.14 = 15,128.57 : x
  2. Step 2: Convert to fraction form
    31,760.71/47,647.14 = 15,128.57/x
  3. Step 3: Cross multiply
    31,760.71x = 47,647.14 × 15,128.57
  4. Step 4: Simplify right side
    31,760.71x = 720,833,155.18
  5. Step 5: Solve for x
    x = 720,833,155.18/31,760.71
  6. Step 6: Final answer
    x = 22,695.75

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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.