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Finding the Fourth Proportional to 33,234.56, 49,858.64 and 13,513.08

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Solution

The fourth proportional to 33,234.56, 49,858.64 and 13,513.08 is: 20,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,234.56 : 49,858.64 = 13,513.08 : x
  2. Step 2: Convert to fraction form
    33,234.56/49,858.64 = 13,513.08/x
  3. Step 3: Cross multiply
    33,234.56x = 49,858.64 × 13,513.08
  4. Step 4: Simplify right side
    33,234.56x = 673,743,791.01
  5. Step 5: Solve for x
    x = 673,743,791.01/33,234.56
  6. Step 6: Final answer
    x = 20,272.38

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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.