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Finding the Fourth Proportional to 67,172.26, 100,745.86 and 27,180.77

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Solution

The fourth proportional to 67,172.26, 100,745.86 and 27,180.77 is: 40,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,172.26 : 100,745.86 = 27,180.77 : x
  2. Step 2: Convert to fraction form
    67,172.26/100,745.86 = 27,180.77/x
  3. Step 3: Cross multiply
    67,172.26x = 100,745.86 × 27,180.77
  4. Step 4: Simplify right side
    67,172.26x = 2,738,350,049.11
  5. Step 5: Solve for x
    x = 2,738,350,049.11/67,172.26
  6. Step 6: Final answer
    x = 40,766.08

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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.