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Finding the Fourth Proportional to 36,892, 50,911.14 and 20,125

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Solution

The fourth proportional to 36,892, 50,911.14 and 20,125 is: 27,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,892 : 50,911.14 = 20,125 : x
  2. Step 2: Convert to fraction form
    36,892/50,911.14 = 20,125/x
  3. Step 3: Cross multiply
    36,892x = 50,911.14 × 20,125
  4. Step 4: Simplify right side
    36,892x = 1,024,586,692.50
  5. Step 5: Solve for x
    x = 1,024,586,692.50/36,892
  6. Step 6: Final answer
    x = 27,772.60

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Why These Related Problems?

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