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Finding the Fourth Proportional to 49,900, 68,862.10 and 27,544

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Solution

The fourth proportional to 49,900, 68,862.10 and 27,544 is: 38,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,900 : 68,862.10 = 27,544 : x
  2. Step 2: Convert to fraction form
    49,900/68,862.10 = 27,544/x
  3. Step 3: Cross multiply
    49,900x = 68,862.10 × 27,544
  4. Step 4: Simplify right side
    49,900x = 1,896,737,682.40
  5. Step 5: Solve for x
    x = 1,896,737,682.40/49,900
  6. Step 6: Final answer
    x = 38,010.78

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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.