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Finding the Fourth Proportional to 83,910.76, 125,836.16 and 27,740.50

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Solution

The fourth proportional to 83,910.76, 125,836.16 and 27,740.50 is: 41,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,910.76 : 125,836.16 = 27,740.50 : x
  2. Step 2: Convert to fraction form
    83,910.76/125,836.16 = 27,740.50/x
  3. Step 3: Cross multiply
    83,910.76x = 125,836.16 × 27,740.50
  4. Step 4: Simplify right side
    83,910.76x = 3,490,757,543.19
  5. Step 5: Solve for x
    x = 3,490,757,543.19/83,910.76
  6. Step 6: Final answer
    x = 41,600.83

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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.