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Finding the Fourth Proportional to 83,442.84, 125,122.68 and 27,275.64

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Solution

The fourth proportional to 83,442.84, 125,122.68 and 27,275.64 is: 40,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,442.84 : 125,122.68 = 27,275.64 : x
  2. Step 2: Convert to fraction form
    83,442.84/125,122.68 = 27,275.64/x
  3. Step 3: Cross multiply
    83,442.84x = 125,122.68 × 27,275.64
  4. Step 4: Simplify right side
    83,442.84x = 3,412,801,175.52
  5. Step 5: Solve for x
    x = 3,412,801,175.52/83,442.84
  6. Step 6: Final answer
    x = 40,899.87

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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.