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Finding the Fourth Proportional to 33,806, 50,715.72 and 10,431.44

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Solution

The fourth proportional to 33,806, 50,715.72 and 10,431.44 is: 15,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,806 : 50,715.72 = 10,431.44 : x
  2. Step 2: Convert to fraction form
    33,806/50,715.72 = 10,431.44/x
  3. Step 3: Cross multiply
    33,806x = 50,715.72 × 10,431.44
  4. Step 4: Simplify right side
    33,806x = 529,037,990.24
  5. Step 5: Solve for x
    x = 529,037,990.24/33,806
  6. Step 6: Final answer
    x = 15,649.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.