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Finding the Fourth Proportional to 33,231.45, 49,847.18 and 9,857.69

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Solution

The fourth proportional to 33,231.45, 49,847.18 and 9,857.69 is: 14,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.45 : 49,847.18 = 9,857.69 : x
  2. Step 2: Convert to fraction form
    33,231.45/49,847.18 = 9,857.69/x
  3. Step 3: Cross multiply
    33,231.45x = 49,847.18 × 9,857.69
  4. Step 4: Simplify right side
    33,231.45x = 491,378,047.81
  5. Step 5: Solve for x
    x = 491,378,047.81/33,231.45
  6. Step 6: Final answer
    x = 14,786.54

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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.