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Finding the Fourth Proportional to 33,453.24, 50,181.78 and 10,077.24

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Solution

The fourth proportional to 33,453.24, 50,181.78 and 10,077.24 is: 15,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,453.24 : 50,181.78 = 10,077.24 : x
  2. Step 2: Convert to fraction form
    33,453.24/50,181.78 = 10,077.24/x
  3. Step 3: Cross multiply
    33,453.24x = 50,181.78 × 10,077.24
  4. Step 4: Simplify right side
    33,453.24x = 505,693,840.69
  5. Step 5: Solve for x
    x = 505,693,840.69/33,453.24
  6. Step 6: Final answer
    x = 15,116.44

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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.