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Finding the Fourth Proportional to 33,201.36, 49,806.90 and 12,420

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Solution

The fourth proportional to 33,201.36, 49,806.90 and 12,420 is: 18,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,201.36 : 49,806.90 = 12,420 : x
  2. Step 2: Convert to fraction form
    33,201.36/49,806.90 = 12,420/x
  3. Step 3: Cross multiply
    33,201.36x = 49,806.90 × 12,420
  4. Step 4: Simplify right side
    33,201.36x = 618,601,698
  5. Step 5: Solve for x
    x = 618,601,698/33,201.36
  6. Step 6: Final answer
    x = 18,631.82

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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.