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Finding the Fourth Proportional to 55,228.42, 82,846.14 and 20,163.52

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Solution

The fourth proportional to 55,228.42, 82,846.14 and 20,163.52 is: 30,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,228.42 : 82,846.14 = 20,163.52 : x
  2. Step 2: Convert to fraction form
    55,228.42/82,846.14 = 20,163.52/x
  3. Step 3: Cross multiply
    55,228.42x = 82,846.14 × 20,163.52
  4. Step 4: Simplify right side
    55,228.42x = 1,670,469,800.81
  5. Step 5: Solve for x
    x = 1,670,469,800.81/55,228.42
  6. Step 6: Final answer
    x = 30,246.56

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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.