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Finding the Fourth Proportional to 83,789.84, 125,689.41 and 27,627.68

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Solution

The fourth proportional to 83,789.84, 125,689.41 and 27,627.68 is: 41,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,789.84 : 125,689.41 = 27,627.68 : x
  2. Step 2: Convert to fraction form
    83,789.84/125,689.41 = 27,627.68/x
  3. Step 3: Cross multiply
    83,789.84x = 125,689.41 × 27,627.68
  4. Step 4: Simplify right side
    83,789.84x = 3,472,506,170.42
  5. Step 5: Solve for x
    x = 3,472,506,170.42/83,789.84
  6. Step 6: Final answer
    x = 41,443.05

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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.