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Finding the Fourth Proportional to 83,188.92, 124,841.70 and 48,080.28

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Solution

The fourth proportional to 83,188.92, 124,841.70 and 48,080.28 is: 72,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188.92 : 124,841.70 = 48,080.28 : x
  2. Step 2: Convert to fraction form
    83,188.92/124,841.70 = 48,080.28/x
  3. Step 3: Cross multiply
    83,188.92x = 124,841.70 × 48,080.28
  4. Step 4: Simplify right side
    83,188.92x = 6,002,423,891.68
  5. Step 5: Solve for x
    x = 6,002,423,891.68/83,188.92
  6. Step 6: Final answer
    x = 72,154.13

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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.