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Finding the Fourth Proportional to 57,161.68, 85,753.40 and 20,251.60

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Solution

The fourth proportional to 57,161.68, 85,753.40 and 20,251.60 is: 30,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,161.68 : 85,753.40 = 20,251.60 : x
  2. Step 2: Convert to fraction form
    57,161.68/85,753.40 = 20,251.60/x
  3. Step 3: Cross multiply
    57,161.68x = 85,753.40 × 20,251.60
  4. Step 4: Simplify right side
    57,161.68x = 1,736,643,555.44
  5. Step 5: Solve for x
    x = 1,736,643,555.44/57,161.68
  6. Step 6: Final answer
    x = 30,381.25

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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.