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Finding the Fourth Proportional to 33,553.67, 50,322.72 and 14,823.49

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Solution

The fourth proportional to 33,553.67, 50,322.72 and 14,823.49 is: 22,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,553.67 : 50,322.72 = 14,823.49 : x
  2. Step 2: Convert to fraction form
    33,553.67/50,322.72 = 14,823.49/x
  3. Step 3: Cross multiply
    33,553.67x = 50,322.72 × 14,823.49
  4. Step 4: Simplify right side
    33,553.67x = 745,958,489.75
  5. Step 5: Solve for x
    x = 745,958,489.75/33,553.67
  6. Step 6: Final answer
    x = 22,231.80

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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.