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Finding the Fourth Proportional to 67,167.90, 100,733.85 and 20,408.22

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Solution

The fourth proportional to 67,167.90, 100,733.85 and 20,408.22 is: 30,606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,167.90 : 100,733.85 = 20,408.22 : x
  2. Step 2: Convert to fraction form
    67,167.90/100,733.85 = 20,408.22/x
  3. Step 3: Cross multiply
    67,167.90x = 100,733.85 × 20,408.22
  4. Step 4: Simplify right side
    67,167.90x = 2,055,798,572.25
  5. Step 5: Solve for x
    x = 2,055,798,572.25/67,167.90
  6. Step 6: Final answer
    x = 30,606.86

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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.