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Finding the Fourth Proportional to 37,243.76, 51,397.41 and 20,249.15

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Solution

The fourth proportional to 37,243.76, 51,397.41 and 20,249.15 is: 27,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,243.76 : 51,397.41 = 20,249.15 : x
  2. Step 2: Convert to fraction form
    37,243.76/51,397.41 = 20,249.15/x
  3. Step 3: Cross multiply
    37,243.76x = 51,397.41 × 20,249.15
  4. Step 4: Simplify right side
    37,243.76x = 1,040,753,814.08
  5. Step 5: Solve for x
    x = 1,040,753,814.08/37,243.76
  6. Step 6: Final answer
    x = 27,944.38

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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.