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Finding the Fourth Proportional to 49,096.59, 67,753.77 and 27,876.33

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Solution

The fourth proportional to 49,096.59, 67,753.77 and 27,876.33 is: 38,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,096.59 : 67,753.77 = 27,876.33 : x
  2. Step 2: Convert to fraction form
    49,096.59/67,753.77 = 27,876.33/x
  3. Step 3: Cross multiply
    49,096.59x = 67,753.77 × 27,876.33
  4. Step 4: Simplify right side
    49,096.59x = 1,888,726,451.26
  5. Step 5: Solve for x
    x = 1,888,726,451.26/49,096.59
  6. Step 6: Final answer
    x = 38,469.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.