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Finding the Fourth Proportional to 36,649.75, 54,974.64 and 8,947.75

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Solution

The fourth proportional to 36,649.75, 54,974.64 and 8,947.75 is: 13,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,649.75 : 54,974.64 = 8,947.75 : x
  2. Step 2: Convert to fraction form
    36,649.75/54,974.64 = 8,947.75/x
  3. Step 3: Cross multiply
    36,649.75x = 54,974.64 × 8,947.75
  4. Step 4: Simplify right side
    36,649.75x = 491,899,335.06
  5. Step 5: Solve for x
    x = 491,899,335.06/36,649.75
  6. Step 6: Final answer
    x = 13,421.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.