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Finding the Fourth Proportional to 54,040.82, 74,576.05 and 31,385.38

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Solution

The fourth proportional to 54,040.82, 74,576.05 and 31,385.38 is: 43,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,040.82 : 74,576.05 = 31,385.38 : x
  2. Step 2: Convert to fraction form
    54,040.82/74,576.05 = 31,385.38/x
  3. Step 3: Cross multiply
    54,040.82x = 74,576.05 × 31,385.38
  4. Step 4: Simplify right side
    54,040.82x = 2,340,597,403.25
  5. Step 5: Solve for x
    x = 2,340,597,403.25/54,040.82
  6. Step 6: Final answer
    x = 43,311.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.