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Finding the Fourth Proportional to 73,919.26, 110,957.85 and 31,820.20

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Solution

The fourth proportional to 73,919.26, 110,957.85 and 31,820.20 is: 47,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,919.26 : 110,957.85 = 31,820.20 : x
  2. Step 2: Convert to fraction form
    73,919.26/110,957.85 = 31,820.20/x
  3. Step 3: Cross multiply
    73,919.26x = 110,957.85 × 31,820.20
  4. Step 4: Simplify right side
    73,919.26x = 3,530,700,978.57
  5. Step 5: Solve for x
    x = 3,530,700,978.57/73,919.26
  6. Step 6: Final answer
    x = 47,764.29

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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.