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Finding the Fourth Proportional to 37,198.14, 55,799.31 and 11,899.87

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Solution

The fourth proportional to 37,198.14, 55,799.31 and 11,899.87 is: 17,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,198.14 : 55,799.31 = 11,899.87 : x
  2. Step 2: Convert to fraction form
    37,198.14/55,799.31 = 11,899.87/x
  3. Step 3: Cross multiply
    37,198.14x = 55,799.31 × 11,899.87
  4. Step 4: Simplify right side
    37,198.14x = 664,004,535.09
  5. Step 5: Solve for x
    x = 664,004,535.09/37,198.14
  6. Step 6: Final answer
    x = 17,850.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.