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Finding the Fourth Proportional to 82,167.90, 113,391.70 and 44,442.15

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Solution

The fourth proportional to 82,167.90, 113,391.70 and 44,442.15 is: 61,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,167.90 : 113,391.70 = 44,442.15 : x
  2. Step 2: Convert to fraction form
    82,167.90/113,391.70 = 44,442.15/x
  3. Step 3: Cross multiply
    82,167.90x = 113,391.70 × 44,442.15
  4. Step 4: Simplify right side
    82,167.90x = 5,039,370,403.83
  5. Step 5: Solve for x
    x = 5,039,370,403.83/82,167.90
  6. Step 6: Final answer
    x = 61,330.16

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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.