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Finding the Fourth Proportional to 33,728, 46,544.82 and 18,824

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Solution

The fourth proportional to 33,728, 46,544.82 and 18,824 is: 25,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,728 : 46,544.82 = 18,824 : x
  2. Step 2: Convert to fraction form
    33,728/46,544.82 = 18,824/x
  3. Step 3: Cross multiply
    33,728x = 46,544.82 × 18,824
  4. Step 4: Simplify right side
    33,728x = 876,159,691.68
  5. Step 5: Solve for x
    x = 876,159,691.68/33,728
  6. Step 6: Final answer
    x = 25,977.22

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Why These Related Problems?

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