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Finding the Fourth Proportional to 33,951.96, 50,908.50 and 31,995

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Solution

The fourth proportional to 33,951.96, 50,908.50 and 31,995 is: 47,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,951.96 : 50,908.50 = 31,995 : x
  2. Step 2: Convert to fraction form
    33,951.96/50,908.50 = 31,995/x
  3. Step 3: Cross multiply
    33,951.96x = 50,908.50 × 31,995
  4. Step 4: Simplify right side
    33,951.96x = 1,628,817,457.50
  5. Step 5: Solve for x
    x = 1,628,817,457.50/33,951.96
  6. Step 6: Final answer
    x = 47,974.18

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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.