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Finding the Fourth Proportional to 82,105.34, 113,305.20 and 44,379.50

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Solution

The fourth proportional to 82,105.34, 113,305.20 and 44,379.50 is: 61,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,105.34 : 113,305.20 = 44,379.50 : x
  2. Step 2: Convert to fraction form
    82,105.34/113,305.20 = 44,379.50/x
  3. Step 3: Cross multiply
    82,105.34x = 113,305.20 × 44,379.50
  4. Step 4: Simplify right side
    82,105.34x = 5,028,428,123.40
  5. Step 5: Solve for x
    x = 5,028,428,123.40/82,105.34
  6. Step 6: Final answer
    x = 61,243.62

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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.