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Finding the Fourth Proportional to 83,105.80, 124,585.80 and 49,839.10

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Solution

The fourth proportional to 83,105.80, 124,585.80 and 49,839.10 is: 74,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,105.80 : 124,585.80 = 49,839.10 : x
  2. Step 2: Convert to fraction form
    83,105.80/124,585.80 = 49,839.10/x
  3. Step 3: Cross multiply
    83,105.80x = 124,585.80 × 49,839.10
  4. Step 4: Simplify right side
    83,105.80x = 6,209,244,144.78
  5. Step 5: Solve for x
    x = 6,209,244,144.78/83,105.80
  6. Step 6: Final answer
    x = 74,714.93

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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.