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Finding the Fourth Proportional to 67,310.82, 100,879.83 and 32,197.86

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Solution

The fourth proportional to 67,310.82, 100,879.83 and 32,197.86 is: 48,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,310.82 : 100,879.83 = 32,197.86 : x
  2. Step 2: Convert to fraction form
    67,310.82/100,879.83 = 32,197.86/x
  3. Step 3: Cross multiply
    67,310.82x = 100,879.83 × 32,197.86
  4. Step 4: Simplify right side
    67,310.82x = 3,248,114,643.16
  5. Step 5: Solve for x
    x = 3,248,114,643.16/67,310.82
  6. Step 6: Final answer
    x = 48,255.46

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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.