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Finding the Fourth Proportional to 33,782.25, 50,672.97 and 31,727.09

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Solution

The fourth proportional to 33,782.25, 50,672.97 and 31,727.09 is: 47,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,782.25 : 50,672.97 = 31,727.09 : x
  2. Step 2: Convert to fraction form
    33,782.25/50,672.97 = 31,727.09/x
  3. Step 3: Cross multiply
    33,782.25x = 50,672.97 × 31,727.09
  4. Step 4: Simplify right side
    33,782.25x = 1,607,705,879.76
  5. Step 5: Solve for x
    x = 1,607,705,879.76/33,782.25
  6. Step 6: Final answer
    x = 47,590.25

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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.