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Finding the Fourth Proportional to 33,337.44, 50,009.16 and 9,644.64

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Solution

The fourth proportional to 33,337.44, 50,009.16 and 9,644.64 is: 14,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,337.44 : 50,009.16 = 9,644.64 : x
  2. Step 2: Convert to fraction form
    33,337.44/50,009.16 = 9,644.64/x
  3. Step 3: Cross multiply
    33,337.44x = 50,009.16 × 9,644.64
  4. Step 4: Simplify right side
    33,337.44x = 482,320,344.90
  5. Step 5: Solve for x
    x = 482,320,344.90/33,337.44
  6. Step 6: Final answer
    x = 14,467.83

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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.