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Finding the Fourth Proportional to 49,396.10, 68,149.82 and 27,883.31

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Solution

The fourth proportional to 49,396.10, 68,149.82 and 27,883.31 is: 38,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,396.10 : 68,149.82 = 27,883.31 : x
  2. Step 2: Convert to fraction form
    49,396.10/68,149.82 = 27,883.31/x
  3. Step 3: Cross multiply
    49,396.10x = 68,149.82 × 27,883.31
  4. Step 4: Simplify right side
    49,396.10x = 1,900,242,286.46
  5. Step 5: Solve for x
    x = 1,900,242,286.46/49,396.10
  6. Step 6: Final answer
    x = 38,469.48

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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.