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Finding the Fourth Proportional to 37,227.57, 55,844.07 and 13,854

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Solution

The fourth proportional to 37,227.57, 55,844.07 and 13,854 is: 20,782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,227.57 : 55,844.07 = 13,854 : x
  2. Step 2: Convert to fraction form
    37,227.57/55,844.07 = 13,854/x
  3. Step 3: Cross multiply
    37,227.57x = 55,844.07 × 13,854
  4. Step 4: Simplify right side
    37,227.57x = 773,663,745.78
  5. Step 5: Solve for x
    x = 773,663,745.78/37,227.57
  6. Step 6: Final answer
    x = 20,782.01

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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.