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Finding the Fourth Proportional to 57,692.25, 86,541.62 and 16,142.49

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Solution

The fourth proportional to 57,692.25, 86,541.62 and 16,142.49 is: 24,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,692.25 : 86,541.62 = 16,142.49 : x
  2. Step 2: Convert to fraction form
    57,692.25/86,541.62 = 16,142.49/x
  3. Step 3: Cross multiply
    57,692.25x = 86,541.62 × 16,142.49
  4. Step 4: Simplify right side
    57,692.25x = 1,396,997,154.72
  5. Step 5: Solve for x
    x = 1,396,997,154.72/57,692.25
  6. Step 6: Final answer
    x = 24,214.64

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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.