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Finding the Fourth Proportional to 33,676.16, 50,519.70 and 10,297.13

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Solution

The fourth proportional to 33,676.16, 50,519.70 and 10,297.13 is: 15,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,676.16 : 50,519.70 = 10,297.13 : x
  2. Step 2: Convert to fraction form
    33,676.16/50,519.70 = 10,297.13/x
  3. Step 3: Cross multiply
    33,676.16x = 50,519.70 × 10,297.13
  4. Step 4: Simplify right side
    33,676.16x = 520,207,665.86
  5. Step 5: Solve for x
    x = 520,207,665.86/33,676.16
  6. Step 6: Final answer
    x = 15,447.36

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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.