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Finding the Fourth Proportional to 82,193.38, 113,425.91 and 48,194.85

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Solution

The fourth proportional to 82,193.38, 113,425.91 and 48,194.85 is: 66,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,193.38 : 113,425.91 = 48,194.85 : x
  2. Step 2: Convert to fraction form
    82,193.38/113,425.91 = 48,194.85/x
  3. Step 3: Cross multiply
    82,193.38x = 113,425.91 × 48,194.85
  4. Step 4: Simplify right side
    82,193.38x = 5,466,543,910.46
  5. Step 5: Solve for x
    x = 5,466,543,910.46/82,193.38
  6. Step 6: Final answer
    x = 66,508.32

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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.