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Finding the Fourth Proportional to 33,824.90, 50,740.34 and 8,864.85

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Solution

The fourth proportional to 33,824.90, 50,740.34 and 8,864.85 is: 13,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824.90 : 50,740.34 = 8,864.85 : x
  2. Step 2: Convert to fraction form
    33,824.90/50,740.34 = 8,864.85/x
  3. Step 3: Cross multiply
    33,824.90x = 50,740.34 × 8,864.85
  4. Step 4: Simplify right side
    33,824.90x = 449,805,503.05
  5. Step 5: Solve for x
    x = 449,805,503.05/33,824.90
  6. Step 6: Final answer
    x = 13,298.06

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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.