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Finding the Fourth Proportional to 33,921.84, 50,865.72 and 16,147.20

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Solution

The fourth proportional to 33,921.84, 50,865.72 and 16,147.20 is: 24,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,921.84 : 50,865.72 = 16,147.20 : x
  2. Step 2: Convert to fraction form
    33,921.84/50,865.72 = 16,147.20/x
  3. Step 3: Cross multiply
    33,921.84x = 50,865.72 × 16,147.20
  4. Step 4: Simplify right side
    33,921.84x = 821,338,953.98
  5. Step 5: Solve for x
    x = 821,338,953.98/33,921.84
  6. Step 6: Final answer
    x = 24,212.69

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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.