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Finding the Fourth Proportional to 36,892.75, 50,912 and 20,125.75

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Solution

The fourth proportional to 36,892.75, 50,912 and 20,125.75 is: 27,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,892.75 : 50,912 = 20,125.75 : x
  2. Step 2: Convert to fraction form
    36,892.75/50,912 = 20,125.75/x
  3. Step 3: Cross multiply
    36,892.75x = 50,912 × 20,125.75
  4. Step 4: Simplify right side
    36,892.75x = 1,024,642,184
  5. Step 5: Solve for x
    x = 1,024,642,184/36,892.75
  6. Step 6: Final answer
    x = 27,773.54

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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.