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Finding the Fourth Proportional to 33,683, 50,531.78 and 12,906.52

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Solution

The fourth proportional to 33,683, 50,531.78 and 12,906.52 is: 19,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,683 : 50,531.78 = 12,906.52 : x
  2. Step 2: Convert to fraction form
    33,683/50,531.78 = 12,906.52/x
  3. Step 3: Cross multiply
    33,683x = 50,531.78 × 12,906.52
  4. Step 4: Simplify right side
    33,683x = 652,189,429.21
  5. Step 5: Solve for x
    x = 652,189,429.21/33,683
  6. Step 6: Final answer
    x = 19,362.57

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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.