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Finding the Fourth Proportional to 48,761.46, 67,293.72 and 27,542.70

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Solution

The fourth proportional to 48,761.46, 67,293.72 and 27,542.70 is: 38,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,761.46 : 67,293.72 = 27,542.70 : x
  2. Step 2: Convert to fraction form
    48,761.46/67,293.72 = 27,542.70/x
  3. Step 3: Cross multiply
    48,761.46x = 67,293.72 × 27,542.70
  4. Step 4: Simplify right side
    48,761.46x = 1,853,450,741.84
  5. Step 5: Solve for x
    x = 1,853,450,741.84/48,761.46
  6. Step 6: Final answer
    x = 38,010.57

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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.