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Finding the Fourth Proportional to 49,898, 68,859.34 and 27,542

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Solution

The fourth proportional to 49,898, 68,859.34 and 27,542 is: 38,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,898 : 68,859.34 = 27,542 : x
  2. Step 2: Convert to fraction form
    49,898/68,859.34 = 27,542/x
  3. Step 3: Cross multiply
    49,898x = 68,859.34 × 27,542
  4. Step 4: Simplify right side
    49,898x = 1,896,523,942.28
  5. Step 5: Solve for x
    x = 1,896,523,942.28/49,898
  6. Step 6: Final answer
    x = 38,008.02

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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.