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Finding the Fourth Proportional to 67,113.62, 100,689.87 and 27,650.42

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Solution

The fourth proportional to 67,113.62, 100,689.87 and 27,650.42 is: 41,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,113.62 : 100,689.87 = 27,650.42 : x
  2. Step 2: Convert to fraction form
    67,113.62/100,689.87 = 27,650.42/x
  3. Step 3: Cross multiply
    67,113.62x = 100,689.87 × 27,650.42
  4. Step 4: Simplify right side
    67,113.62x = 2,784,117,195.25
  5. Step 5: Solve for x
    x = 2,784,117,195.25/67,113.62
  6. Step 6: Final answer
    x = 41,483.64

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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.