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Finding the Fourth Proportional to 38,233.92, 52,744.49 and 26,909.70

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Solution

The fourth proportional to 38,233.92, 52,744.49 and 26,909.70 is: 37,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,233.92 : 52,744.49 = 26,909.70 : x
  2. Step 2: Convert to fraction form
    38,233.92/52,744.49 = 26,909.70/x
  3. Step 3: Cross multiply
    38,233.92x = 52,744.49 × 26,909.70
  4. Step 4: Simplify right side
    38,233.92x = 1,419,338,402.55
  5. Step 5: Solve for x
    x = 1,419,338,402.55/38,233.92
  6. Step 6: Final answer
    x = 37,122.49

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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.