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Finding the Fourth Proportional to 33,657.30, 50,471.19 and 11,464.56

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Solution

The fourth proportional to 33,657.30, 50,471.19 and 11,464.56 is: 17,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,657.30 : 50,471.19 = 11,464.56 : x
  2. Step 2: Convert to fraction form
    33,657.30/50,471.19 = 11,464.56/x
  3. Step 3: Cross multiply
    33,657.30x = 50,471.19 × 11,464.56
  4. Step 4: Simplify right side
    33,657.30x = 578,629,986.03
  5. Step 5: Solve for x
    x = 578,629,986.03/33,657.30
  6. Step 6: Final answer
    x = 17,191.81

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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.