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Finding the Fourth Proportional to 67,225.92, 100,755.36 and 29,745.60

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Solution

The fourth proportional to 67,225.92, 100,755.36 and 29,745.60 is: 44,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,225.92 : 100,755.36 = 29,745.60 : x
  2. Step 2: Convert to fraction form
    67,225.92/100,755.36 = 29,745.60/x
  3. Step 3: Cross multiply
    67,225.92x = 100,755.36 × 29,745.60
  4. Step 4: Simplify right side
    67,225.92x = 2,997,028,636.42
  5. Step 5: Solve for x
    x = 2,997,028,636.42/67,225.92
  6. Step 6: Final answer
    x = 44,581.44

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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.