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Finding the Fourth Proportional to 33,821.70, 46,675.62 and 20,397.30

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Solution

The fourth proportional to 33,821.70, 46,675.62 and 20,397.30 is: 28,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,821.70 : 46,675.62 = 20,397.30 : x
  2. Step 2: Convert to fraction form
    33,821.70/46,675.62 = 20,397.30/x
  3. Step 3: Cross multiply
    33,821.70x = 46,675.62 × 20,397.30
  4. Step 4: Simplify right side
    33,821.70x = 952,056,623.83
  5. Step 5: Solve for x
    x = 952,056,623.83/33,821.70
  6. Step 6: Final answer
    x = 28,149.28

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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.