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Finding the Fourth Proportional to 33,708.89, 50,563.34 and 31,631.24

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Solution

The fourth proportional to 33,708.89, 50,563.34 and 31,631.24 is: 47,446.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,708.89 : 50,563.34 = 31,631.24 : x
  2. Step 2: Convert to fraction form
    33,708.89/50,563.34 = 31,631.24/x
  3. Step 3: Cross multiply
    33,708.89x = 50,563.34 × 31,631.24
  4. Step 4: Simplify right side
    33,708.89x = 1,599,381,142.74
  5. Step 5: Solve for x
    x = 1,599,381,142.74/33,708.89
  6. Step 6: Final answer
    x = 47,446.86

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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.