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Finding the Fourth Proportional to 33,208.08, 49,812 and 9,832.62

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Solution

The fourth proportional to 33,208.08, 49,812 and 9,832.62 is: 14,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208.08 : 49,812 = 9,832.62 : x
  2. Step 2: Convert to fraction form
    33,208.08/49,812 = 9,832.62/x
  3. Step 3: Cross multiply
    33,208.08x = 49,812 × 9,832.62
  4. Step 4: Simplify right side
    33,208.08x = 489,782,467.44
  5. Step 5: Solve for x
    x = 489,782,467.44/33,208.08
  6. Step 6: Final answer
    x = 14,748.89

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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.