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Finding the Fourth Proportional to 36,878.68, 50,892.78 and 20,111.32

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Solution

The fourth proportional to 36,878.68, 50,892.78 and 20,111.32 is: 27,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,878.68 : 50,892.78 = 20,111.32 : x
  2. Step 2: Convert to fraction form
    36,878.68/50,892.78 = 20,111.32/x
  3. Step 3: Cross multiply
    36,878.68x = 50,892.78 × 20,111.32
  4. Step 4: Simplify right side
    36,878.68x = 1,023,520,984.27
  5. Step 5: Solve for x
    x = 1,023,520,984.27/36,878.68
  6. Step 6: Final answer
    x = 27,753.73

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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.