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Finding the Fourth Proportional to 110,983.88, 166,500.70 and 32,104.22

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Solution

The fourth proportional to 110,983.88, 166,500.70 and 32,104.22 is: 48,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,983.88 : 166,500.70 = 32,104.22 : x
  2. Step 2: Convert to fraction form
    110,983.88/166,500.70 = 32,104.22/x
  3. Step 3: Cross multiply
    110,983.88x = 166,500.70 × 32,104.22
  4. Step 4: Simplify right side
    110,983.88x = 5,345,375,102.95
  5. Step 5: Solve for x
    x = 5,345,375,102.95/110,983.88
  6. Step 6: Final answer
    x = 48,163.53

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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.