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Finding the Fourth Proportional to 49,902.52, 68,863.74 and 29,749

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Solution

The fourth proportional to 49,902.52, 68,863.74 and 29,749 is: 41,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902.52 : 68,863.74 = 29,749 : x
  2. Step 2: Convert to fraction form
    49,902.52/68,863.74 = 29,749/x
  3. Step 3: Cross multiply
    49,902.52x = 68,863.74 × 29,749
  4. Step 4: Simplify right side
    49,902.52x = 2,048,627,401.26
  5. Step 5: Solve for x
    x = 2,048,627,401.26/49,902.52
  6. Step 6: Final answer
    x = 41,052.58

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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.