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Finding the Fourth Proportional to 82,406.46, 113,720.31 and 44,680.44

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Solution

The fourth proportional to 82,406.46, 113,720.31 and 44,680.44 is: 61,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,406.46 : 113,720.31 = 44,680.44 : x
  2. Step 2: Convert to fraction form
    82,406.46/113,720.31 = 44,680.44/x
  3. Step 3: Cross multiply
    82,406.46x = 113,720.31 × 44,680.44
  4. Step 4: Simplify right side
    82,406.46x = 5,081,073,487.74
  5. Step 5: Solve for x
    x = 5,081,073,487.74/82,406.46
  6. Step 6: Final answer
    x = 61,658.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.