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Finding the Fourth Proportional to 82,469.56, 113,808.72 and 44,744.56

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Solution

The fourth proportional to 82,469.56, 113,808.72 and 44,744.56 is: 61,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,469.56 : 113,808.72 = 44,744.56 : x
  2. Step 2: Convert to fraction form
    82,469.56/113,808.72 = 44,744.56/x
  3. Step 3: Cross multiply
    82,469.56x = 113,808.72 × 44,744.56
  4. Step 4: Simplify right side
    82,469.56x = 5,092,321,100.56
  5. Step 5: Solve for x
    x = 5,092,321,100.56/82,469.56
  6. Step 6: Final answer
    x = 61,747.89

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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.