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Finding the Fourth Proportional to 33,197.82, 49,744.82 and 20,859.90

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Solution

The fourth proportional to 33,197.82, 49,744.82 and 20,859.90 is: 31,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,197.82 : 49,744.82 = 20,859.90 : x
  2. Step 2: Convert to fraction form
    33,197.82/49,744.82 = 20,859.90/x
  3. Step 3: Cross multiply
    33,197.82x = 49,744.82 × 20,859.90
  4. Step 4: Simplify right side
    33,197.82x = 1,037,671,970.72
  5. Step 5: Solve for x
    x = 1,037,671,970.72/33,197.82
  6. Step 6: Final answer
    x = 31,257.23

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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.