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Finding the Fourth Proportional to 33,842.40, 50,714.16 and 31,972.80

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Solution

The fourth proportional to 33,842.40, 50,714.16 and 31,972.80 is: 47,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842.40 : 50,714.16 = 31,972.80 : x
  2. Step 2: Convert to fraction form
    33,842.40/50,714.16 = 31,972.80/x
  3. Step 3: Cross multiply
    33,842.40x = 50,714.16 × 31,972.80
  4. Step 4: Simplify right side
    33,842.40x = 1,621,473,694.85
  5. Step 5: Solve for x
    x = 1,621,473,694.85/33,842.40
  6. Step 6: Final answer
    x = 47,912.49

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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.