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Finding the Fourth Proportional to 55,847.60, 83,761.80 and 20,769.20

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Solution

The fourth proportional to 55,847.60, 83,761.80 and 20,769.20 is: 31,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,847.60 : 83,761.80 = 20,769.20 : x
  2. Step 2: Convert to fraction form
    55,847.60/83,761.80 = 20,769.20/x
  3. Step 3: Cross multiply
    55,847.60x = 83,761.80 × 20,769.20
  4. Step 4: Simplify right side
    55,847.60x = 1,739,665,576.56
  5. Step 5: Solve for x
    x = 1,739,665,576.56/55,847.60
  6. Step 6: Final answer
    x = 31,150.23

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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.