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Finding the Fourth Proportional to 33,103.50, 49,639.66 and 12,028.68

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Solution

The fourth proportional to 33,103.50, 49,639.66 and 12,028.68 is: 18,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,103.50 : 49,639.66 = 12,028.68 : x
  2. Step 2: Convert to fraction form
    33,103.50/49,639.66 = 12,028.68/x
  3. Step 3: Cross multiply
    33,103.50x = 49,639.66 × 12,028.68
  4. Step 4: Simplify right side
    33,103.50x = 597,099,585.45
  5. Step 5: Solve for x
    x = 597,099,585.45/33,103.50
  6. Step 6: Final answer
    x = 18,037.36

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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.