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Finding the Fourth Proportional to 33,174.54, 49,754.06 and 9,481.43

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Solution

The fourth proportional to 33,174.54, 49,754.06 and 9,481.43 is: 14,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,174.54 : 49,754.06 = 9,481.43 : x
  2. Step 2: Convert to fraction form
    33,174.54/49,754.06 = 9,481.43/x
  3. Step 3: Cross multiply
    33,174.54x = 49,754.06 × 9,481.43
  4. Step 4: Simplify right side
    33,174.54x = 471,739,714.08
  5. Step 5: Solve for x
    x = 471,739,714.08/33,174.54
  6. Step 6: Final answer
    x = 14,219.93

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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.