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Finding the Fourth Proportional to 36,697.50, 50,638.10 and 20,781.41

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Solution

The fourth proportional to 36,697.50, 50,638.10 and 20,781.41 is: 28,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,697.50 : 50,638.10 = 20,781.41 : x
  2. Step 2: Convert to fraction form
    36,697.50/50,638.10 = 20,781.41/x
  3. Step 3: Cross multiply
    36,697.50x = 50,638.10 × 20,781.41
  4. Step 4: Simplify right side
    36,697.50x = 1,052,330,760.62
  5. Step 5: Solve for x
    x = 1,052,330,760.62/36,697.50
  6. Step 6: Final answer
    x = 28,675.82

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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.