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Finding the Fourth Proportional to 82,167.89, 113,391.70 and 44,442.14

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Solution

The fourth proportional to 82,167.89, 113,391.70 and 44,442.14 is: 61,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,167.89 : 113,391.70 = 44,442.14 : x
  2. Step 2: Convert to fraction form
    82,167.89/113,391.70 = 44,442.14/x
  3. Step 3: Cross multiply
    82,167.89x = 113,391.70 × 44,442.14
  4. Step 4: Simplify right side
    82,167.89x = 5,039,369,766.00
  5. Step 5: Solve for x
    x = 5,039,369,766.00/82,167.89
  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.