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Finding the Fourth Proportional to 33,642.24, 46,424.07 and 20,205.51

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Solution

The fourth proportional to 33,642.24, 46,424.07 and 20,205.51 is: 27,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642.24 : 46,424.07 = 20,205.51 : x
  2. Step 2: Convert to fraction form
    33,642.24/46,424.07 = 20,205.51/x
  3. Step 3: Cross multiply
    33,642.24x = 46,424.07 × 20,205.51
  4. Step 4: Simplify right side
    33,642.24x = 938,022,010.63
  5. Step 5: Solve for x
    x = 938,022,010.63/33,642.24
  6. Step 6: Final answer
    x = 27,882.27

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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.