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Finding the Fourth Proportional to 67,942.75, 101,456.59 and 55,487.48

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Solution

The fourth proportional to 67,942.75, 101,456.59 and 55,487.48 is: 82,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,942.75 : 101,456.59 = 55,487.48 : x
  2. Step 2: Convert to fraction form
    67,942.75/101,456.59 = 55,487.48/x
  3. Step 3: Cross multiply
    67,942.75x = 101,456.59 × 55,487.48
  4. Step 4: Simplify right side
    67,942.75x = 5,629,570,508.49
  5. Step 5: Solve for x
    x = 5,629,570,508.49/67,942.75
  6. Step 6: Final answer
    x = 82,857.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.