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Finding the Fourth Proportional to 57,796.25, 86,694.38 and 16,243.25

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Solution

The fourth proportional to 57,796.25, 86,694.38 and 16,243.25 is: 24,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,796.25 : 86,694.38 = 16,243.25 : x
  2. Step 2: Convert to fraction form
    57,796.25/86,694.38 = 16,243.25/x
  3. Step 3: Cross multiply
    57,796.25x = 86,694.38 × 16,243.25
  4. Step 4: Simplify right side
    57,796.25x = 1,408,198,406.72
  5. Step 5: Solve for x
    x = 1,408,198,406.72/57,796.25
  6. Step 6: Final answer
    x = 24,364.88

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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.