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Finding the Fourth Proportional to 49,081.52, 67,732.26 and 27,863.84

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Solution

The fourth proportional to 49,081.52, 67,732.26 and 27,863.84 is: 38,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,081.52 : 67,732.26 = 27,863.84 : x
  2. Step 2: Convert to fraction form
    49,081.52/67,732.26 = 27,863.84/x
  3. Step 3: Cross multiply
    49,081.52x = 67,732.26 × 27,863.84
  4. Step 4: Simplify right side
    49,081.52x = 1,887,280,855.48
  5. Step 5: Solve for x
    x = 1,887,280,855.48/49,081.52
  6. Step 6: Final answer
    x = 38,451.96

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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.