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Finding the Fourth Proportional to 83,494.87, 124,963.43 and 49,651.04

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Solution

The fourth proportional to 83,494.87, 124,963.43 and 49,651.04 is: 74,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,494.87 : 124,963.43 = 49,651.04 : x
  2. Step 2: Convert to fraction form
    83,494.87/124,963.43 = 49,651.04/x
  3. Step 3: Cross multiply
    83,494.87x = 124,963.43 × 49,651.04
  4. Step 4: Simplify right side
    83,494.87x = 6,204,564,325.62
  5. Step 5: Solve for x
    x = 6,204,564,325.62/83,494.87
  6. Step 6: Final answer
    x = 74,310.73

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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.