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Finding the Fourth Proportional to 31,691.97, 43,637.31 and 28,149.03

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Solution

The fourth proportional to 31,691.97, 43,637.31 and 28,149.03 is: 38,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691.97 : 43,637.31 = 28,149.03 : x
  2. Step 2: Convert to fraction form
    31,691.97/43,637.31 = 28,149.03/x
  3. Step 3: Cross multiply
    31,691.97x = 43,637.31 × 28,149.03
  4. Step 4: Simplify right side
    31,691.97x = 1,228,347,948.31
  5. Step 5: Solve for x
    x = 1,228,347,948.31/31,691.97
  6. Step 6: Final answer
    x = 38,758.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.