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Finding the Fourth Proportional to 82,167.75, 113,391.51 and 44,442

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Solution

The fourth proportional to 82,167.75, 113,391.51 and 44,442 is: 61,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,167.75 : 113,391.51 = 44,442 : x
  2. Step 2: Convert to fraction form
    82,167.75/113,391.51 = 44,442/x
  3. Step 3: Cross multiply
    82,167.75x = 113,391.51 × 44,442
  4. Step 4: Simplify right side
    82,167.75x = 5,039,345,320.76
  5. Step 5: Solve for x
    x = 5,039,345,320.76/82,167.75
  6. Step 6: Final answer
    x = 61,329.97

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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.