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Finding the Fourth Proportional to 33,676.02, 50,508.27 and 9,983.12

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Solution

The fourth proportional to 33,676.02, 50,508.27 and 9,983.12 is: 14,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,676.02 : 50,508.27 = 9,983.12 : x
  2. Step 2: Convert to fraction form
    33,676.02/50,508.27 = 9,983.12/x
  3. Step 3: Cross multiply
    33,676.02x = 50,508.27 × 9,983.12
  4. Step 4: Simplify right side
    33,676.02x = 504,229,867.86
  5. Step 5: Solve for x
    x = 504,229,867.86/33,676.02
  6. Step 6: Final answer
    x = 14,972.96

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Why These Related Problems?

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