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Finding the Fourth Proportional to 37,245.22, 51,398.70 and 20,249.49

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Solution

The fourth proportional to 37,245.22, 51,398.70 and 20,249.49 is: 27,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,245.22 : 51,398.70 = 20,249.49 : x
  2. Step 2: Convert to fraction form
    37,245.22/51,398.70 = 20,249.49/x
  3. Step 3: Cross multiply
    37,245.22x = 51,398.70 × 20,249.49
  4. Step 4: Simplify right side
    37,245.22x = 1,040,797,692.38
  5. Step 5: Solve for x
    x = 1,040,797,692.38/37,245.22
  6. Step 6: Final answer
    x = 27,944.47

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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.