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Finding the Fourth Proportional to 33,524.29, 50,286.44 and 8,564.40

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Solution

The fourth proportional to 33,524.29, 50,286.44 and 8,564.40 is: 12,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,524.29 : 50,286.44 = 8,564.40 : x
  2. Step 2: Convert to fraction form
    33,524.29/50,286.44 = 8,564.40/x
  3. Step 3: Cross multiply
    33,524.29x = 50,286.44 × 8,564.40
  4. Step 4: Simplify right side
    33,524.29x = 430,672,892.48
  5. Step 5: Solve for x
    x = 430,672,892.48/33,524.29
  6. Step 6: Final answer
    x = 12,846.59

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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.