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Finding the Fourth Proportional to 33,676.22, 50,513.81 and 8,714.24

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Solution

The fourth proportional to 33,676.22, 50,513.81 and 8,714.24 is: 13,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,676.22 : 50,513.81 = 8,714.24 : x
  2. Step 2: Convert to fraction form
    33,676.22/50,513.81 = 8,714.24/x
  3. Step 3: Cross multiply
    33,676.22x = 50,513.81 × 8,714.24
  4. Step 4: Simplify right side
    33,676.22x = 440,189,546.37
  5. Step 5: Solve for x
    x = 440,189,546.37/33,676.22
  6. Step 6: Final answer
    x = 13,071.23

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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.