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Finding the Fourth Proportional to 47,882.29, 66,067.50 and 27,737.97

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Solution

The fourth proportional to 47,882.29, 66,067.50 and 27,737.97 is: 38,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,882.29 : 66,067.50 = 27,737.97 : x
  2. Step 2: Convert to fraction form
    47,882.29/66,067.50 = 27,737.97/x
  3. Step 3: Cross multiply
    47,882.29x = 66,067.50 × 27,737.97
  4. Step 4: Simplify right side
    47,882.29x = 1,832,578,332.98
  5. Step 5: Solve for x
    x = 1,832,578,332.98/47,882.29
  6. Step 6: Final answer
    x = 38,272.57

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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.