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Finding the Fourth Proportional to 83,646.73, 125,489.84 and 27,487

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Solution

The fourth proportional to 83,646.73, 125,489.84 and 27,487 is: 41,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,646.73 : 125,489.84 = 27,487 : x
  2. Step 2: Convert to fraction form
    83,646.73/125,489.84 = 27,487/x
  3. Step 3: Cross multiply
    83,646.73x = 125,489.84 × 27,487
  4. Step 4: Simplify right side
    83,646.73x = 3,449,339,232.08
  5. Step 5: Solve for x
    x = 3,449,339,232.08/83,646.73
  6. Step 6: Final answer
    x = 41,236.99

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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.