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Finding the Fourth Proportional to 33,953.72, 50,942.46 and 13,191.80

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Solution

The fourth proportional to 33,953.72, 50,942.46 and 13,191.80 is: 19,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,953.72 : 50,942.46 = 13,191.80 : x
  2. Step 2: Convert to fraction form
    33,953.72/50,942.46 = 13,191.80/x
  3. Step 3: Cross multiply
    33,953.72x = 50,942.46 × 13,191.80
  4. Step 4: Simplify right side
    33,953.72x = 672,022,743.83
  5. Step 5: Solve for x
    x = 672,022,743.83/33,953.72
  6. Step 6: Final answer
    x = 19,792.32

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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.