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Finding the Fourth Proportional to 36,788.42, 55,190.86 and 13,414.86

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Solution

The fourth proportional to 36,788.42, 55,190.86 and 13,414.86 is: 20,125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,788.42 : 55,190.86 = 13,414.86 : x
  2. Step 2: Convert to fraction form
    36,788.42/55,190.86 = 13,414.86/x
  3. Step 3: Cross multiply
    36,788.42x = 55,190.86 × 13,414.86
  4. Step 4: Simplify right side
    36,788.42x = 740,377,660.18
  5. Step 5: Solve for x
    x = 740,377,660.18/36,788.42
  6. Step 6: Final answer
    x = 20,125.29

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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.