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Finding the Fourth Proportional to 33,643.05, 46,416.90 and 20,217.30

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Solution

The fourth proportional to 33,643.05, 46,416.90 and 20,217.30 is: 27,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643.05 : 46,416.90 = 20,217.30 : x
  2. Step 2: Convert to fraction form
    33,643.05/46,416.90 = 20,217.30/x
  3. Step 3: Cross multiply
    33,643.05x = 46,416.90 × 20,217.30
  4. Step 4: Simplify right side
    33,643.05x = 938,424,392.37
  5. Step 5: Solve for x
    x = 938,424,392.37/33,643.05
  6. Step 6: Final answer
    x = 27,893.56

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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.