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Finding the Fourth Proportional to 55,481.46, 83,214 and 20,412.96

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Solution

The fourth proportional to 55,481.46, 83,214 and 20,412.96 is: 30,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,481.46 : 83,214 = 20,412.96 : x
  2. Step 2: Convert to fraction form
    55,481.46/83,214 = 20,412.96/x
  3. Step 3: Cross multiply
    55,481.46x = 83,214 × 20,412.96
  4. Step 4: Simplify right side
    55,481.46x = 1,698,644,053.44
  5. Step 5: Solve for x
    x = 1,698,644,053.44/55,481.46
  6. Step 6: Final answer
    x = 30,616.43

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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.