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Finding the Fourth Proportional to 67,147.68, 100,734.48 and 22,782

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Solution

The fourth proportional to 67,147.68, 100,734.48 and 22,782 is: 34,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,147.68 : 100,734.48 = 22,782 : x
  2. Step 2: Convert to fraction form
    67,147.68/100,734.48 = 22,782/x
  3. Step 3: Cross multiply
    67,147.68x = 100,734.48 × 22,782
  4. Step 4: Simplify right side
    67,147.68x = 2,294,932,923.36
  5. Step 5: Solve for x
    x = 2,294,932,923.36/67,147.68
  6. Step 6: Final answer
    x = 34,177.40

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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.