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Finding the Fourth Proportional to 38,380.68, 57,578.85 and 16,194

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Solution

The fourth proportional to 38,380.68, 57,578.85 and 16,194 is: 24,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,380.68 : 57,578.85 = 16,194 : x
  2. Step 2: Convert to fraction form
    38,380.68/57,578.85 = 16,194/x
  3. Step 3: Cross multiply
    38,380.68x = 57,578.85 × 16,194
  4. Step 4: Simplify right side
    38,380.68x = 932,431,896.90
  5. Step 5: Solve for x
    x = 932,431,896.90/38,380.68
  6. Step 6: Final answer
    x = 24,294.30

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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.