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Finding the Fourth Proportional to 33,106.74, 49,683.83 and 12,046.74

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Solution

The fourth proportional to 33,106.74, 49,683.83 and 12,046.74 is: 18,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106.74 : 49,683.83 = 12,046.74 : x
  2. Step 2: Convert to fraction form
    33,106.74/49,683.83 = 12,046.74/x
  3. Step 3: Cross multiply
    33,106.74x = 49,683.83 × 12,046.74
  4. Step 4: Simplify right side
    33,106.74x = 598,528,182.21
  5. Step 5: Solve for x
    x = 598,528,182.21/33,106.74
  6. Step 6: Final answer
    x = 18,078.74

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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.