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Finding the Fourth Proportional to 33,222, 49,853.75 and 13,500.55

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Solution

The fourth proportional to 33,222, 49,853.75 and 13,500.55 is: 20,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,222 : 49,853.75 = 13,500.55 : x
  2. Step 2: Convert to fraction form
    33,222/49,853.75 = 13,500.55/x
  3. Step 3: Cross multiply
    33,222x = 49,853.75 × 13,500.55
  4. Step 4: Simplify right side
    33,222x = 673,053,044.56
  5. Step 5: Solve for x
    x = 673,053,044.56/33,222
  6. Step 6: Final answer
    x = 20,259.26

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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.