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Finding the Fourth Proportional to 55,198.17, 82,809.57 and 20,137.83

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Solution

The fourth proportional to 55,198.17, 82,809.57 and 20,137.83 is: 30,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,198.17 : 82,809.57 = 20,137.83 : x
  2. Step 2: Convert to fraction form
    55,198.17/82,809.57 = 20,137.83/x
  3. Step 3: Cross multiply
    55,198.17x = 82,809.57 × 20,137.83
  4. Step 4: Simplify right side
    55,198.17x = 1,667,605,043.03
  5. Step 5: Solve for x
    x = 1,667,605,043.03/55,198.17
  6. Step 6: Final answer
    x = 30,211.24

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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.