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Finding the Fourth Proportional to 83,314.92, 124,948.50 and 27,159.95

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Solution

The fourth proportional to 83,314.92, 124,948.50 and 27,159.95 is: 40,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,314.92 : 124,948.50 = 27,159.95 : x
  2. Step 2: Convert to fraction form
    83,314.92/124,948.50 = 27,159.95/x
  3. Step 3: Cross multiply
    83,314.92x = 124,948.50 × 27,159.95
  4. Step 4: Simplify right side
    83,314.92x = 3,393,594,387.83
  5. Step 5: Solve for x
    x = 3,393,594,387.83/83,314.92
  6. Step 6: Final answer
    x = 40,732.13

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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.