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Finding the Fourth Proportional to 82,106.46, 113,306.82 and 44,380.74

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Solution

The fourth proportional to 82,106.46, 113,306.82 and 44,380.74 is: 61,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,106.46 : 113,306.82 = 44,380.74 : x
  2. Step 2: Convert to fraction form
    82,106.46/113,306.82 = 44,380.74/x
  3. Step 3: Cross multiply
    82,106.46x = 113,306.82 × 44,380.74
  4. Step 4: Simplify right side
    82,106.46x = 5,028,640,518.65
  5. Step 5: Solve for x
    x = 5,028,640,518.65/82,106.46
  6. Step 6: Final answer
    x = 61,245.37

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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.