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Finding the Fourth Proportional to 57,399.80, 86,229.32 and 34,041.56

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Solution

The fourth proportional to 57,399.80, 86,229.32 and 34,041.56 is: 51,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,399.80 : 86,229.32 = 34,041.56 : x
  2. Step 2: Convert to fraction form
    57,399.80/86,229.32 = 34,041.56/x
  3. Step 3: Cross multiply
    57,399.80x = 86,229.32 × 34,041.56
  4. Step 4: Simplify right side
    57,399.80x = 2,935,380,570.54
  5. Step 5: Solve for x
    x = 2,935,380,570.54/57,399.80
  6. Step 6: Final answer
    x = 51,139.21

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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.