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Finding the Fourth Proportional to 49,097.92, 67,755.92 and 27,877.76

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Solution

The fourth proportional to 49,097.92, 67,755.92 and 27,877.76 is: 38,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,097.92 : 67,755.92 = 27,877.76 : x
  2. Step 2: Convert to fraction form
    49,097.92/67,755.92 = 27,877.76/x
  3. Step 3: Cross multiply
    49,097.92x = 67,755.92 × 27,877.76
  4. Step 4: Simplify right side
    49,097.92x = 1,888,883,276.34
  5. Step 5: Solve for x
    x = 1,888,883,276.34/49,097.92
  6. Step 6: Final answer
    x = 38,471.76

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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.