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Finding the Fourth Proportional to 33,161.72, 49,717.72 and 20,011

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Solution

The fourth proportional to 33,161.72, 49,717.72 and 20,011 is: 30,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,161.72 : 49,717.72 = 20,011 : x
  2. Step 2: Convert to fraction form
    33,161.72/49,717.72 = 20,011/x
  3. Step 3: Cross multiply
    33,161.72x = 49,717.72 × 20,011
  4. Step 4: Simplify right side
    33,161.72x = 994,901,294.92
  5. Step 5: Solve for x
    x = 994,901,294.92/33,161.72
  6. Step 6: Final answer
    x = 30,001.50

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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.