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Finding the Fourth Proportional to 67,195.20, 100,825.20 and 47,431.20

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Solution

The fourth proportional to 67,195.20, 100,825.20 and 47,431.20 is: 71,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,195.20 : 100,825.20 = 47,431.20 : x
  2. Step 2: Convert to fraction form
    67,195.20/100,825.20 = 47,431.20/x
  3. Step 3: Cross multiply
    67,195.20x = 100,825.20 × 47,431.20
  4. Step 4: Simplify right side
    67,195.20x = 4,782,260,226.24
  5. Step 5: Solve for x
    x = 4,782,260,226.24/67,195.20
  6. Step 6: Final answer
    x = 71,169.67

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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.