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Finding the Fourth Proportional to 54,793.31, 82,029.81 and 49,540.41

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Solution

The fourth proportional to 54,793.31, 82,029.81 and 49,540.41 is: 74,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,793.31 : 82,029.81 = 49,540.41 : x
  2. Step 2: Convert to fraction form
    54,793.31/82,029.81 = 49,540.41/x
  3. Step 3: Cross multiply
    54,793.31x = 82,029.81 × 49,540.41
  4. Step 4: Simplify right side
    54,793.31x = 4,063,790,605.40
  5. Step 5: Solve for x
    x = 4,063,790,605.40/54,793.31
  6. Step 6: Final answer
    x = 74,165.82

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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.