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Finding the Fourth Proportional to 33,846.40, 50,769.60 and 31,542.40

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Solution

The fourth proportional to 33,846.40, 50,769.60 and 31,542.40 is: 47,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,846.40 : 50,769.60 = 31,542.40 : x
  2. Step 2: Convert to fraction form
    33,846.40/50,769.60 = 31,542.40/x
  3. Step 3: Cross multiply
    33,846.40x = 50,769.60 × 31,542.40
  4. Step 4: Simplify right side
    33,846.40x = 1,601,395,031.04
  5. Step 5: Solve for x
    x = 1,601,395,031.04/33,846.40
  6. Step 6: Final answer
    x = 47,313.60

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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.