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Finding the Fourth Proportional to 83,189.92, 124,843.20 and 48,081.28

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Solution

The fourth proportional to 83,189.92, 124,843.20 and 48,081.28 is: 72,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,189.92 : 124,843.20 = 48,081.28 : x
  2. Step 2: Convert to fraction form
    83,189.92/124,843.20 = 48,081.28/x
  3. Step 3: Cross multiply
    83,189.92x = 124,843.20 × 48,081.28
  4. Step 4: Simplify right side
    83,189.92x = 6,002,620,855.30
  5. Step 5: Solve for x
    x = 6,002,620,855.30/83,189.92
  6. Step 6: Final answer
    x = 72,155.63

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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.