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Finding the Fourth Proportional to 37,353, 51,550.38 and 20,589.24

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Solution

The fourth proportional to 37,353, 51,550.38 and 20,589.24 is: 28,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,353 : 51,550.38 = 20,589.24 : x
  2. Step 2: Convert to fraction form
    37,353/51,550.38 = 20,589.24/x
  3. Step 3: Cross multiply
    37,353x = 51,550.38 × 20,589.24
  4. Step 4: Simplify right side
    37,353x = 1,061,383,145.91
  5. Step 5: Solve for x
    x = 1,061,383,145.91/37,353
  6. Step 6: Final answer
    x = 28,414.94

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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.