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Finding the Fourth Proportional to 57,200.10, 85,816.35 and 17,761.20

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Solution

The fourth proportional to 57,200.10, 85,816.35 and 17,761.20 is: 26,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,200.10 : 85,816.35 = 17,761.20 : x
  2. Step 2: Convert to fraction form
    57,200.10/85,816.35 = 17,761.20/x
  3. Step 3: Cross multiply
    57,200.10x = 85,816.35 × 17,761.20
  4. Step 4: Simplify right side
    57,200.10x = 1,524,201,355.62
  5. Step 5: Solve for x
    x = 1,524,201,355.62/57,200.10
  6. Step 6: Final answer
    x = 26,646.83

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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.