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Finding the Fourth Proportional to 55,286.40, 82,951.20 and 20,228.80

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Solution

The fourth proportional to 55,286.40, 82,951.20 and 20,228.80 is: 30,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286.40 : 82,951.20 = 20,228.80 : x
  2. Step 2: Convert to fraction form
    55,286.40/82,951.20 = 20,228.80/x
  3. Step 3: Cross multiply
    55,286.40x = 82,951.20 × 20,228.80
  4. Step 4: Simplify right side
    55,286.40x = 1,678,003,234.56
  5. Step 5: Solve for x
    x = 1,678,003,234.56/55,286.40
  6. Step 6: Final answer
    x = 30,351.10

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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.