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Finding the Fourth Proportional to 67,198.96, 92,738.38 and 38,523.36

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Solution

The fourth proportional to 67,198.96, 92,738.38 and 38,523.36 is: 53,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,198.96 : 92,738.38 = 38,523.36 : x
  2. Step 2: Convert to fraction form
    67,198.96/92,738.38 = 38,523.36/x
  3. Step 3: Cross multiply
    67,198.96x = 92,738.38 × 38,523.36
  4. Step 4: Simplify right side
    67,198.96x = 3,572,593,998.56
  5. Step 5: Solve for x
    x = 3,572,593,998.56/67,198.96
  6. Step 6: Final answer
    x = 53,164.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.