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Finding the Fourth Proportional to 33,564, 50,343.84 and 13,837.44

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Solution

The fourth proportional to 33,564, 50,343.84 and 13,837.44 is: 20,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564 : 50,343.84 = 13,837.44 : x
  2. Step 2: Convert to fraction form
    33,564/50,343.84 = 13,837.44/x
  3. Step 3: Cross multiply
    33,564x = 50,343.84 × 13,837.44
  4. Step 4: Simplify right side
    33,564x = 696,629,865.37
  5. Step 5: Solve for x
    x = 696,629,865.37/33,564
  6. Step 6: Final answer
    x = 20,755.27

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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.