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Finding the Fourth Proportional to 82,507.44, 113,861.61 and 44,781.69

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Solution

The fourth proportional to 82,507.44, 113,861.61 and 44,781.69 is: 61,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507.44 : 113,861.61 = 44,781.69 : x
  2. Step 2: Convert to fraction form
    82,507.44/113,861.61 = 44,781.69/x
  3. Step 3: Cross multiply
    82,507.44x = 113,861.61 × 44,781.69
  4. Step 4: Simplify right side
    82,507.44x = 5,098,915,321.92
  5. Step 5: Solve for x
    x = 5,098,915,321.92/82,507.44
  6. Step 6: Final answer
    x = 61,799.46

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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.