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Finding the Fourth Proportional to 54,863.56, 82,221.90 and 47,437.48

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Solution

The fourth proportional to 54,863.56, 82,221.90 and 47,437.48 is: 71,092.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,863.56 : 82,221.90 = 47,437.48 : x
  2. Step 2: Convert to fraction form
    54,863.56/82,221.90 = 47,437.48/x
  3. Step 3: Cross multiply
    54,863.56x = 82,221.90 × 47,437.48
  4. Step 4: Simplify right side
    54,863.56x = 3,900,399,736.81
  5. Step 5: Solve for x
    x = 3,900,399,736.81/54,863.56
  6. Step 6: Final answer
    x = 71,092.72

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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.