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Finding the Fourth Proportional to 82,504.36, 113,856.13 and 44,778.61

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Solution

The fourth proportional to 82,504.36, 113,856.13 and 44,778.61 is: 61,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,504.36 : 113,856.13 = 44,778.61 : x
  2. Step 2: Convert to fraction form
    82,504.36/113,856.13 = 44,778.61/x
  3. Step 3: Cross multiply
    82,504.36x = 113,856.13 × 44,778.61
  4. Step 4: Simplify right side
    82,504.36x = 5,098,319,241.38
  5. Step 5: Solve for x
    x = 5,098,319,241.38/82,504.36
  6. Step 6: Final answer
    x = 61,794.54

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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.