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Finding the Fourth Proportional to 33,189.67, 49,773.74 and 10,997.09

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Solution

The fourth proportional to 33,189.67, 49,773.74 and 10,997.09 is: 16,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.67 : 49,773.74 = 10,997.09 : x
  2. Step 2: Convert to fraction form
    33,189.67/49,773.74 = 10,997.09/x
  3. Step 3: Cross multiply
    33,189.67x = 49,773.74 × 10,997.09
  4. Step 4: Simplify right side
    33,189.67x = 547,366,056.69
  5. Step 5: Solve for x
    x = 547,366,056.69/33,189.67
  6. Step 6: Final answer
    x = 16,492.06

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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.