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Finding the Fourth Proportional to 57,094.87, 85,593.10 and 27,471.96

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Solution

The fourth proportional to 57,094.87, 85,593.10 and 27,471.96 is: 41,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,094.87 : 85,593.10 = 27,471.96 : x
  2. Step 2: Convert to fraction form
    57,094.87/85,593.10 = 27,471.96/x
  3. Step 3: Cross multiply
    57,094.87x = 85,593.10 × 27,471.96
  4. Step 4: Simplify right side
    57,094.87x = 2,351,409,654.15
  5. Step 5: Solve for x
    x = 2,351,409,654.15/57,094.87
  6. Step 6: Final answer
    x = 41,184.25

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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.