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Finding the Fourth Proportional to 33,838.90, 46,682.04 and 21,906.10

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Solution

The fourth proportional to 33,838.90, 46,682.04 and 21,906.10 is: 30,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.90 : 46,682.04 = 21,906.10 : x
  2. Step 2: Convert to fraction form
    33,838.90/46,682.04 = 21,906.10/x
  3. Step 3: Cross multiply
    33,838.90x = 46,682.04 × 21,906.10
  4. Step 4: Simplify right side
    33,838.90x = 1,022,621,436.44
  5. Step 5: Solve for x
    x = 1,022,621,436.44/33,838.90
  6. Step 6: Final answer
    x = 30,220.29

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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.