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Finding the Fourth Proportional to 50,501.48, 69,691.49 and 27,839.90

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Solution

The fourth proportional to 50,501.48, 69,691.49 and 27,839.90 is: 38,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,501.48 : 69,691.49 = 27,839.90 : x
  2. Step 2: Convert to fraction form
    50,501.48/69,691.49 = 27,839.90/x
  3. Step 3: Cross multiply
    50,501.48x = 69,691.49 × 27,839.90
  4. Step 4: Simplify right side
    50,501.48x = 1,940,204,251.88
  5. Step 5: Solve for x
    x = 1,940,204,251.88/50,501.48
  6. Step 6: Final answer
    x = 38,418.76

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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.