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Finding the Fourth Proportional to 49,097.47, 67,754.97 and 27,877.19

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Solution

The fourth proportional to 49,097.47, 67,754.97 and 27,877.19 is: 38,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,097.47 : 67,754.97 = 27,877.19 : x
  2. Step 2: Convert to fraction form
    49,097.47/67,754.97 = 27,877.19/x
  3. Step 3: Cross multiply
    49,097.47x = 67,754.97 × 27,877.19
  4. Step 4: Simplify right side
    49,097.47x = 1,888,818,032.75
  5. Step 5: Solve for x
    x = 1,888,818,032.75/49,097.47
  6. Step 6: Final answer
    x = 38,470.78

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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.