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Finding the Fourth Proportional to 33,221.94, 49,822.04 and 11,029.34

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Solution

The fourth proportional to 33,221.94, 49,822.04 and 11,029.34 is: 16,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,221.94 : 49,822.04 = 11,029.34 : x
  2. Step 2: Convert to fraction form
    33,221.94/49,822.04 = 11,029.34/x
  3. Step 3: Cross multiply
    33,221.94x = 49,822.04 × 11,029.34
  4. Step 4: Simplify right side
    33,221.94x = 549,504,218.65
  5. Step 5: Solve for x
    x = 549,504,218.65/33,221.94
  6. Step 6: Final answer
    x = 16,540.40

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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.