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Finding the Fourth Proportional to 67,082.48, 100,627.16 and 17,163

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Solution

The fourth proportional to 67,082.48, 100,627.16 and 17,163 is: 25,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,082.48 : 100,627.16 = 17,163 : x
  2. Step 2: Convert to fraction form
    67,082.48/100,627.16 = 17,163/x
  3. Step 3: Cross multiply
    67,082.48x = 100,627.16 × 17,163
  4. Step 4: Simplify right side
    67,082.48x = 1,727,063,947.08
  5. Step 5: Solve for x
    x = 1,727,063,947.08/67,082.48
  6. Step 6: Final answer
    x = 25,745.38

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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.