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Finding the Fourth Proportional to 33,291.30, 49,930.22 and 12,224.12

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Solution

The fourth proportional to 33,291.30, 49,930.22 and 12,224.12 is: 18,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,291.30 : 49,930.22 = 12,224.12 : x
  2. Step 2: Convert to fraction form
    33,291.30/49,930.22 = 12,224.12/x
  3. Step 3: Cross multiply
    33,291.30x = 49,930.22 × 12,224.12
  4. Step 4: Simplify right side
    33,291.30x = 610,352,781.82
  5. Step 5: Solve for x
    x = 610,352,781.82/33,291.30
  6. Step 6: Final answer
    x = 18,333.70

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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.