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Finding the Fourth Proportional to 33,633.58, 46,418.78 and 21,731.54

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Solution

The fourth proportional to 33,633.58, 46,418.78 and 21,731.54 is: 29,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.58 : 46,418.78 = 21,731.54 : x
  2. Step 2: Convert to fraction form
    33,633.58/46,418.78 = 21,731.54/x
  3. Step 3: Cross multiply
    33,633.58x = 46,418.78 × 21,731.54
  4. Step 4: Simplify right side
    33,633.58x = 1,008,751,574.32
  5. Step 5: Solve for x
    x = 1,008,751,574.32/33,633.58
  6. Step 6: Final answer
    x = 29,992.39

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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.