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Finding the Fourth Proportional to 33,106.24, 49,683.08 and 12,046.24

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Solution

The fourth proportional to 33,106.24, 49,683.08 and 12,046.24 is: 18,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106.24 : 49,683.08 = 12,046.24 : x
  2. Step 2: Convert to fraction form
    33,106.24/49,683.08 = 12,046.24/x
  3. Step 3: Cross multiply
    33,106.24x = 49,683.08 × 12,046.24
  4. Step 4: Simplify right side
    33,106.24x = 598,494,305.62
  5. Step 5: Solve for x
    x = 598,494,305.62/33,106.24
  6. Step 6: Final answer
    x = 18,077.99

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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.