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Finding the Fourth Proportional to 33,227.47, 49,832.64 and 9,848.44

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Solution

The fourth proportional to 33,227.47, 49,832.64 and 9,848.44 is: 14,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,227.47 : 49,832.64 = 9,848.44 : x
  2. Step 2: Convert to fraction form
    33,227.47/49,832.64 = 9,848.44/x
  3. Step 3: Cross multiply
    33,227.47x = 49,832.64 × 9,848.44
  4. Step 4: Simplify right side
    33,227.47x = 490,773,515.92
  5. Step 5: Solve for x
    x = 490,773,515.92/33,227.47
  6. Step 6: Final answer
    x = 14,770.12

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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.