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Finding the Fourth Proportional to 82,504.38, 113,856 and 44,778.62

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Solution

The fourth proportional to 82,504.38, 113,856 and 44,778.62 is: 61,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,504.38 : 113,856 = 44,778.62 : x
  2. Step 2: Convert to fraction form
    82,504.38/113,856 = 44,778.62/x
  3. Step 3: Cross multiply
    82,504.38x = 113,856 × 44,778.62
  4. Step 4: Simplify right side
    82,504.38x = 5,098,314,558.72
  5. Step 5: Solve for x
    x = 5,098,314,558.72/82,504.38
  6. Step 6: Final answer
    x = 61,794.47

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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.