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Finding the Fourth Proportional to 33,849, 46,700.82 and 21,921.48

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Solution

The fourth proportional to 33,849, 46,700.82 and 21,921.48 is: 30,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,849 : 46,700.82 = 21,921.48 : x
  2. Step 2: Convert to fraction form
    33,849/46,700.82 = 21,921.48/x
  3. Step 3: Cross multiply
    33,849x = 46,700.82 × 21,921.48
  4. Step 4: Simplify right side
    33,849x = 1,023,751,091.61
  5. Step 5: Solve for x
    x = 1,023,751,091.61/33,849
  6. Step 6: Final answer
    x = 30,244.65

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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.