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Finding the Fourth Proportional to 57,036, 85,589.64 and 27,456.96

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Solution

The fourth proportional to 57,036, 85,589.64 and 27,456.96 is: 41,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,036 : 85,589.64 = 27,456.96 : x
  2. Step 2: Convert to fraction form
    57,036/85,589.64 = 27,456.96/x
  3. Step 3: Cross multiply
    57,036x = 85,589.64 × 27,456.96
  4. Step 4: Simplify right side
    57,036x = 2,350,031,321.89
  5. Step 5: Solve for x
    x = 2,350,031,321.89/57,036
  6. Step 6: Final answer
    x = 41,202.60

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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.