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Finding the Fourth Proportional to 83,209.60, 124,834.20 and 27,049.96

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Solution

The fourth proportional to 83,209.60, 124,834.20 and 27,049.96 is: 40,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,209.60 : 124,834.20 = 27,049.96 : x
  2. Step 2: Convert to fraction form
    83,209.60/124,834.20 = 27,049.96/x
  3. Step 3: Cross multiply
    83,209.60x = 124,834.20 × 27,049.96
  4. Step 4: Simplify right side
    83,209.60x = 3,376,760,116.63
  5. Step 5: Solve for x
    x = 3,376,760,116.63/83,209.60
  6. Step 6: Final answer
    x = 40,581.38

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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.