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Finding the Fourth Proportional to 33,878.36, 50,806.78 and 31,667.11

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Solution

The fourth proportional to 33,878.36, 50,806.78 and 31,667.11 is: 47,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,878.36 : 50,806.78 = 31,667.11 : x
  2. Step 2: Convert to fraction form
    33,878.36/50,806.78 = 31,667.11/x
  3. Step 3: Cross multiply
    33,878.36x = 50,806.78 × 31,667.11
  4. Step 4: Simplify right side
    33,878.36x = 1,608,903,684.82
  5. Step 5: Solve for x
    x = 1,608,903,684.82/33,878.36
  6. Step 6: Final answer
    x = 47,490.60

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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.