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Finding the Fourth Proportional to 33,778.69, 50,667.63 and 31,723.52

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Solution

The fourth proportional to 33,778.69, 50,667.63 and 31,723.52 is: 47,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,778.69 : 50,667.63 = 31,723.52 : x
  2. Step 2: Convert to fraction form
    33,778.69/50,667.63 = 31,723.52/x
  3. Step 3: Cross multiply
    33,778.69x = 50,667.63 × 31,723.52
  4. Step 4: Simplify right side
    33,778.69x = 1,607,355,581.36
  5. Step 5: Solve for x
    x = 1,607,355,581.36/33,778.69
  6. Step 6: Final answer
    x = 47,584.90

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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.