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Finding the Fourth Proportional to 31,049.38, 42,908.97 and 27,593.38

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Solution

The fourth proportional to 31,049.38, 42,908.97 and 27,593.38 is: 38,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.38 : 42,908.97 = 27,593.38 : x
  2. Step 2: Convert to fraction form
    31,049.38/42,908.97 = 27,593.38/x
  3. Step 3: Cross multiply
    31,049.38x = 42,908.97 × 27,593.38
  4. Step 4: Simplify right side
    31,049.38x = 1,184,003,514.62
  5. Step 5: Solve for x
    x = 1,184,003,514.62/31,049.38
  6. Step 6: Final answer
    x = 38,132.92

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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.