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Finding the Fourth Proportional to 33,037.39, 49,556.49 and 9,664.30

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Solution

The fourth proportional to 33,037.39, 49,556.49 and 9,664.30 is: 14,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,037.39 : 49,556.49 = 9,664.30 : x
  2. Step 2: Convert to fraction form
    33,037.39/49,556.49 = 9,664.30/x
  3. Step 3: Cross multiply
    33,037.39x = 49,556.49 × 9,664.30
  4. Step 4: Simplify right side
    33,037.39x = 478,928,786.31
  5. Step 5: Solve for x
    x = 478,928,786.31/33,037.39
  6. Step 6: Final answer
    x = 14,496.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.