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Finding the Fourth Proportional to 83,098, 124,596.87 and 38,734.71

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Solution

The fourth proportional to 83,098, 124,596.87 and 38,734.71 is: 58,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,098 : 124,596.87 = 38,734.71 : x
  2. Step 2: Convert to fraction form
    83,098/124,596.87 = 38,734.71/x
  3. Step 3: Cross multiply
    83,098x = 124,596.87 × 38,734.71
  4. Step 4: Simplify right side
    83,098x = 4,826,223,626.36
  5. Step 5: Solve for x
    x = 4,826,223,626.36/83,098
  6. Step 6: Final answer
    x = 58,078.70

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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.