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Finding the Fourth Proportional to 57,096.20, 85,644.30 and 20,160.20

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Solution

The fourth proportional to 57,096.20, 85,644.30 and 20,160.20 is: 30,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,096.20 : 85,644.30 = 20,160.20 : x
  2. Step 2: Convert to fraction form
    57,096.20/85,644.30 = 20,160.20/x
  3. Step 3: Cross multiply
    57,096.20x = 85,644.30 × 20,160.20
  4. Step 4: Simplify right side
    57,096.20x = 1,726,606,216.86
  5. Step 5: Solve for x
    x = 1,726,606,216.86/57,096.20
  6. Step 6: Final answer
    x = 30,240.30

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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.