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Finding the Fourth Proportional to 83,863.88, 125,791.72 and 31,269.26

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Solution

The fourth proportional to 83,863.88, 125,791.72 and 31,269.26 is: 46,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,863.88 : 125,791.72 = 31,269.26 : x
  2. Step 2: Convert to fraction form
    83,863.88/125,791.72 = 31,269.26/x
  3. Step 3: Cross multiply
    83,863.88x = 125,791.72 × 31,269.26
  4. Step 4: Simplify right side
    83,863.88x = 3,933,413,998.53
  5. Step 5: Solve for x
    x = 3,933,413,998.53/83,863.88
  6. Step 6: Final answer
    x = 46,902.36

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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.