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Finding the Fourth Proportional to 57,410.46, 86,151.06 and 36,321.46

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Solution

The fourth proportional to 57,410.46, 86,151.06 and 36,321.46 is: 54,504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,410.46 : 86,151.06 = 36,321.46 : x
  2. Step 2: Convert to fraction form
    57,410.46/86,151.06 = 36,321.46/x
  3. Step 3: Cross multiply
    57,410.46x = 86,151.06 × 36,321.46
  4. Step 4: Simplify right side
    57,410.46x = 3,129,131,850.56
  5. Step 5: Solve for x
    x = 3,129,131,850.56/57,410.46
  6. Step 6: Final answer
    x = 54,504.56

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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.