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Finding the Fourth Proportional to 36,808.02, 50,778.90 and 24,867

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Solution

The fourth proportional to 36,808.02, 50,778.90 and 24,867 is: 34,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,808.02 : 50,778.90 = 24,867 : x
  2. Step 2: Convert to fraction form
    36,808.02/50,778.90 = 24,867/x
  3. Step 3: Cross multiply
    36,808.02x = 50,778.90 × 24,867
  4. Step 4: Simplify right side
    36,808.02x = 1,262,718,906.30
  5. Step 5: Solve for x
    x = 1,262,718,906.30/36,808.02
  6. Step 6: Final answer
    x = 34,305.54

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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.