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Finding the Fourth Proportional to 83,761.92, 125,642.66 and 36,370.89

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Solution

The fourth proportional to 83,761.92, 125,642.66 and 36,370.89 is: 54,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,761.92 : 125,642.66 = 36,370.89 : x
  2. Step 2: Convert to fraction form
    83,761.92/125,642.66 = 36,370.89/x
  3. Step 3: Cross multiply
    83,761.92x = 125,642.66 × 36,370.89
  4. Step 4: Simplify right side
    83,761.92x = 4,569,735,184.31
  5. Step 5: Solve for x
    x = 4,569,735,184.31/83,761.92
  6. Step 6: Final answer
    x = 54,556.24

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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.