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Finding the Fourth Proportional to 57,727.50, 86,605.83 and 16,174.50

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Solution

The fourth proportional to 57,727.50, 86,605.83 and 16,174.50 is: 24,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,727.50 : 86,605.83 = 16,174.50 : x
  2. Step 2: Convert to fraction form
    57,727.50/86,605.83 = 16,174.50/x
  3. Step 3: Cross multiply
    57,727.50x = 86,605.83 × 16,174.50
  4. Step 4: Simplify right side
    57,727.50x = 1,400,805,997.34
  5. Step 5: Solve for x
    x = 1,400,805,997.34/57,727.50
  6. Step 6: Final answer
    x = 24,265.84

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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.