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Finding the Fourth Proportional to 57,707.56, 86,571.87 and 26,542

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Solution

The fourth proportional to 57,707.56, 86,571.87 and 26,542 is: 39,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,707.56 : 86,571.87 = 26,542 : x
  2. Step 2: Convert to fraction form
    57,707.56/86,571.87 = 26,542/x
  3. Step 3: Cross multiply
    57,707.56x = 86,571.87 × 26,542
  4. Step 4: Simplify right side
    57,707.56x = 2,297,790,573.54
  5. Step 5: Solve for x
    x = 2,297,790,573.54/57,707.56
  6. Step 6: Final answer
    x = 39,817.84

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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.