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Finding the Fourth Proportional to 82,037.13, 113,211.31 and 44,311.38

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Solution

The fourth proportional to 82,037.13, 113,211.31 and 44,311.38 is: 61,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,037.13 : 113,211.31 = 44,311.38 : x
  2. Step 2: Convert to fraction form
    82,037.13/113,211.31 = 44,311.38/x
  3. Step 3: Cross multiply
    82,037.13x = 113,211.31 × 44,311.38
  4. Step 4: Simplify right side
    82,037.13x = 5,016,549,377.71
  5. Step 5: Solve for x
    x = 5,016,549,377.71/82,037.13
  6. Step 6: Final answer
    x = 61,149.74

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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.