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Finding the Fourth Proportional to 55,169.68, 82,734.36 and 20,098.96

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Solution

The fourth proportional to 55,169.68, 82,734.36 and 20,098.96 is: 30,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,169.68 : 82,734.36 = 20,098.96 : x
  2. Step 2: Convert to fraction form
    55,169.68/82,734.36 = 20,098.96/x
  3. Step 3: Cross multiply
    55,169.68x = 82,734.36 × 20,098.96
  4. Step 4: Simplify right side
    55,169.68x = 1,662,874,592.27
  5. Step 5: Solve for x
    x = 1,662,874,592.27/55,169.68
  6. Step 6: Final answer
    x = 30,141.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.