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Finding the Fourth Proportional to 67,308.56, 100,965.72 and 25,184.72

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Solution

The fourth proportional to 67,308.56, 100,965.72 and 25,184.72 is: 37,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,308.56 : 100,965.72 = 25,184.72 : x
  2. Step 2: Convert to fraction form
    67,308.56/100,965.72 = 25,184.72/x
  3. Step 3: Cross multiply
    67,308.56x = 100,965.72 × 25,184.72
  4. Step 4: Simplify right side
    67,308.56x = 2,542,793,387.80
  5. Step 5: Solve for x
    x = 2,542,793,387.80/67,308.56
  6. Step 6: Final answer
    x = 37,778.16

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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.