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Finding the Fourth Proportional to 54,062.70, 81,049.23 and 33,242.46

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Solution

The fourth proportional to 54,062.70, 81,049.23 and 33,242.46 is: 49,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,062.70 : 81,049.23 = 33,242.46 : x
  2. Step 2: Convert to fraction form
    54,062.70/81,049.23 = 33,242.46/x
  3. Step 3: Cross multiply
    54,062.70x = 81,049.23 × 33,242.46
  4. Step 4: Simplify right side
    54,062.70x = 2,694,275,786.31
  5. Step 5: Solve for x
    x = 2,694,275,786.31/54,062.70
  6. Step 6: Final answer
    x = 49,836.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.