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Finding the Fourth Proportional to 57,722.25, 86,588.25 and 16,169.25

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Solution

The fourth proportional to 57,722.25, 86,588.25 and 16,169.25 is: 24,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,722.25 : 86,588.25 = 16,169.25 : x
  2. Step 2: Convert to fraction form
    57,722.25/86,588.25 = 16,169.25/x
  3. Step 3: Cross multiply
    57,722.25x = 86,588.25 × 16,169.25
  4. Step 4: Simplify right side
    57,722.25x = 1,400,067,061.31
  5. Step 5: Solve for x
    x = 1,400,067,061.31/57,722.25
  6. Step 6: Final answer
    x = 24,255.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.