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Finding the Fourth Proportional to 82,426.80, 113,765.56 and 48,446.27

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Solution

The fourth proportional to 82,426.80, 113,765.56 and 48,446.27 is: 66,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,426.80 : 113,765.56 = 48,446.27 : x
  2. Step 2: Convert to fraction form
    82,426.80/113,765.56 = 48,446.27/x
  3. Step 3: Cross multiply
    82,426.80x = 113,765.56 × 48,446.27
  4. Step 4: Simplify right side
    82,426.80x = 5,511,516,346.52
  5. Step 5: Solve for x
    x = 5,511,516,346.52/82,426.80
  6. Step 6: Final answer
    x = 66,865.59

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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.