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Finding the Fourth Proportional to 67,144.29, 100,716.45 and 17,224.38

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Solution

The fourth proportional to 67,144.29, 100,716.45 and 17,224.38 is: 25,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,144.29 : 100,716.45 = 17,224.38 : x
  2. Step 2: Convert to fraction form
    67,144.29/100,716.45 = 17,224.38/x
  3. Step 3: Cross multiply
    67,144.29x = 100,716.45 × 17,224.38
  4. Step 4: Simplify right side
    67,144.29x = 1,734,778,407.05
  5. Step 5: Solve for x
    x = 1,734,778,407.05/67,144.29
  6. Step 6: Final answer
    x = 25,836.57

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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.