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Finding the Fourth Proportional to 33,783.25, 50,674.47 and 31,728.09

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Solution

The fourth proportional to 33,783.25, 50,674.47 and 31,728.09 is: 47,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783.25 : 50,674.47 = 31,728.09 : x
  2. Step 2: Convert to fraction form
    33,783.25/50,674.47 = 31,728.09/x
  3. Step 3: Cross multiply
    33,783.25x = 50,674.47 × 31,728.09
  4. Step 4: Simplify right side
    33,783.25x = 1,607,804,144.86
  5. Step 5: Solve for x
    x = 1,607,804,144.86/33,783.25
  6. Step 6: Final answer
    x = 47,591.75

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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.