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Finding the Fourth Proportional to 33,414.11, 46,110.33 and 19,978.38

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Solution

The fourth proportional to 33,414.11, 46,110.33 and 19,978.38 is: 27,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,414.11 : 46,110.33 = 19,978.38 : x
  2. Step 2: Convert to fraction form
    33,414.11/46,110.33 = 19,978.38/x
  3. Step 3: Cross multiply
    33,414.11x = 46,110.33 × 19,978.38
  4. Step 4: Simplify right side
    33,414.11x = 921,209,694.67
  5. Step 5: Solve for x
    x = 921,209,694.67/33,414.11
  6. Step 6: Final answer
    x = 27,569.48

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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.