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Finding the Fourth Proportional to 33,627, 46,408.50 and 18,723

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Solution

The fourth proportional to 33,627, 46,408.50 and 18,723 is: 25,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,627 : 46,408.50 = 18,723 : x
  2. Step 2: Convert to fraction form
    33,627/46,408.50 = 18,723/x
  3. Step 3: Cross multiply
    33,627x = 46,408.50 × 18,723
  4. Step 4: Simplify right side
    33,627x = 868,906,345.50
  5. Step 5: Solve for x
    x = 868,906,345.50/33,627
  6. Step 6: Final answer
    x = 25,839.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.