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Finding the Fourth Proportional to 33,213.87, 49,832.69 and 14,230.53

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Solution

The fourth proportional to 33,213.87, 49,832.69 and 14,230.53 is: 21,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,213.87 : 49,832.69 = 14,230.53 : x
  2. Step 2: Convert to fraction form
    33,213.87/49,832.69 = 14,230.53/x
  3. Step 3: Cross multiply
    33,213.87x = 49,832.69 × 14,230.53
  4. Step 4: Simplify right side
    33,213.87x = 709,145,518.87
  5. Step 5: Solve for x
    x = 709,145,518.87/33,213.87
  6. Step 6: Final answer
    x = 21,350.89

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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.