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Finding the Fourth Proportional to 33,083.44, 49,625.16 and 9,709.88

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Solution

The fourth proportional to 33,083.44, 49,625.16 and 9,709.88 is: 14,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,083.44 : 49,625.16 = 9,709.88 : x
  2. Step 2: Convert to fraction form
    33,083.44/49,625.16 = 9,709.88/x
  3. Step 3: Cross multiply
    33,083.44x = 49,625.16 × 9,709.88
  4. Step 4: Simplify right side
    33,083.44x = 481,854,064.04
  5. Step 5: Solve for x
    x = 481,854,064.04/33,083.44
  6. Step 6: Final answer
    x = 14,564.81

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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.