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Finding the Fourth Proportional to 27,997.38, 41,791.23 and 24,676

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Solution

The fourth proportional to 27,997.38, 41,791.23 and 24,676 is: 36,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.38 : 41,791.23 = 24,676 : x
  2. Step 2: Convert to fraction form
    27,997.38/41,791.23 = 24,676/x
  3. Step 3: Cross multiply
    27,997.38x = 41,791.23 × 24,676
  4. Step 4: Simplify right side
    27,997.38x = 1,031,240,391.48
  5. Step 5: Solve for x
    x = 1,031,240,391.48/27,997.38
  6. Step 6: Final answer
    x = 36,833.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.