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Finding the Fourth Proportional to 82,568, 113,943.84 and 44,842.56

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Solution

The fourth proportional to 82,568, 113,943.84 and 44,842.56 is: 61,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,568 : 113,943.84 = 44,842.56 : x
  2. Step 2: Convert to fraction form
    82,568/113,943.84 = 44,842.56/x
  3. Step 3: Cross multiply
    82,568x = 113,943.84 × 44,842.56
  4. Step 4: Simplify right side
    82,568x = 5,109,533,481.83
  5. Step 5: Solve for x
    x = 5,109,533,481.83/82,568
  6. Step 6: Final answer
    x = 61,882.73

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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.