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Finding the Fourth Proportional to 57,102.57, 78,837.10 and 36,692.85

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Solution

The fourth proportional to 57,102.57, 78,837.10 and 36,692.85 is: 50,658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.57 : 78,837.10 = 36,692.85 : x
  2. Step 2: Convert to fraction form
    57,102.57/78,837.10 = 36,692.85/x
  3. Step 3: Cross multiply
    57,102.57x = 78,837.10 × 36,692.85
  4. Step 4: Simplify right side
    57,102.57x = 2,892,757,645.18
  5. Step 5: Solve for x
    x = 2,892,757,645.18/57,102.57
  6. Step 6: Final answer
    x = 50,658.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.