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Finding the Fourth Proportional to 55,266, 82,911.24 and 20,204.88

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Solution

The fourth proportional to 55,266, 82,911.24 and 20,204.88 is: 30,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,266 : 82,911.24 = 20,204.88 : x
  2. Step 2: Convert to fraction form
    55,266/82,911.24 = 20,204.88/x
  3. Step 3: Cross multiply
    55,266x = 82,911.24 × 20,204.88
  4. Step 4: Simplify right side
    55,266x = 1,675,211,654.85
  5. Step 5: Solve for x
    x = 1,675,211,654.85/55,266
  6. Step 6: Final answer
    x = 30,311.79

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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.