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Finding the Fourth Proportional to 33,341.82, 46,026.80 and 22,600

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Solution

The fourth proportional to 33,341.82, 46,026.80 and 22,600 is: 31,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,341.82 : 46,026.80 = 22,600 : x
  2. Step 2: Convert to fraction form
    33,341.82/46,026.80 = 22,600/x
  3. Step 3: Cross multiply
    33,341.82x = 46,026.80 × 22,600
  4. Step 4: Simplify right side
    33,341.82x = 1,040,205,680.00
  5. Step 5: Solve for x
    x = 1,040,205,680.00/33,341.82
  6. Step 6: Final answer
    x = 31,198.23

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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.