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Finding the Fourth Proportional to 102,613.50, 153,920.25 and 27,727.90

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Solution

The fourth proportional to 102,613.50, 153,920.25 and 27,727.90 is: 41,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,613.50 : 153,920.25 = 27,727.90 : x
  2. Step 2: Convert to fraction form
    102,613.50/153,920.25 = 27,727.90/x
  3. Step 3: Cross multiply
    102,613.50x = 153,920.25 × 27,727.90
  4. Step 4: Simplify right side
    102,613.50x = 4,267,884,915.17
  5. Step 5: Solve for x
    x = 4,267,884,915.17/102,613.50
  6. Step 6: Final answer
    x = 41,591.85

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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.