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Finding the Fourth Proportional to 33,650.25, 46,394.22 and 27,578.14

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Solution

The fourth proportional to 33,650.25, 46,394.22 and 27,578.14 is: 38,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,650.25 : 46,394.22 = 27,578.14 : x
  2. Step 2: Convert to fraction form
    33,650.25/46,394.22 = 27,578.14/x
  3. Step 3: Cross multiply
    33,650.25x = 46,394.22 × 27,578.14
  4. Step 4: Simplify right side
    33,650.25x = 1,279,466,156.46
  5. Step 5: Solve for x
    x = 1,279,466,156.46/33,650.25
  6. Step 6: Final answer
    x = 38,022.49

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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.