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Finding the Fourth Proportional to 31,773.97, 47,691.94 and 15,145.48

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Solution

The fourth proportional to 31,773.97, 47,691.94 and 15,145.48 is: 22,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.97 : 47,691.94 = 15,145.48 : x
  2. Step 2: Convert to fraction form
    31,773.97/47,691.94 = 15,145.48/x
  3. Step 3: Cross multiply
    31,773.97x = 47,691.94 × 15,145.48
  4. Step 4: Simplify right side
    31,773.97x = 722,317,323.43
  5. Step 5: Solve for x
    x = 722,317,323.43/31,773.97
  6. Step 6: Final answer
    x = 22,732.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.