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Finding the Fourth Proportional to 49,431.40, 68,220.22 and 28,213.86

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Solution

The fourth proportional to 49,431.40, 68,220.22 and 28,213.86 is: 38,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,431.40 : 68,220.22 = 28,213.86 : x
  2. Step 2: Convert to fraction form
    49,431.40/68,220.22 = 28,213.86/x
  3. Step 3: Cross multiply
    49,431.40x = 68,220.22 × 28,213.86
  4. Step 4: Simplify right side
    49,431.40x = 1,924,755,736.25
  5. Step 5: Solve for x
    x = 1,924,755,736.25/49,431.40
  6. Step 6: Final answer
    x = 38,937.92

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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.