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Finding the Fourth Proportional to 82,107.96, 113,308.89 and 44,382.24

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Solution

The fourth proportional to 82,107.96, 113,308.89 and 44,382.24 is: 61,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,107.96 : 113,308.89 = 44,382.24 : x
  2. Step 2: Convert to fraction form
    82,107.96/113,308.89 = 44,382.24/x
  3. Step 3: Cross multiply
    82,107.96x = 113,308.89 × 44,382.24
  4. Step 4: Simplify right side
    82,107.96x = 5,028,902,350.11
  5. Step 5: Solve for x
    x = 5,028,902,350.11/82,107.96
  6. Step 6: Final answer
    x = 61,247.44

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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.