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Finding the Fourth Proportional to 33,229.92, 49,830.25 and 12,164.49

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Solution

The fourth proportional to 33,229.92, 49,830.25 and 12,164.49 is: 18,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,229.92 : 49,830.25 = 12,164.49 : x
  2. Step 2: Convert to fraction form
    33,229.92/49,830.25 = 12,164.49/x
  3. Step 3: Cross multiply
    33,229.92x = 49,830.25 × 12,164.49
  4. Step 4: Simplify right side
    33,229.92x = 606,159,577.82
  5. Step 5: Solve for x
    x = 606,159,577.82/33,229.92
  6. Step 6: Final answer
    x = 18,241.38

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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.