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Finding the Fourth Proportional to 33,808.80, 46,640.44 and 21,876

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Solution

The fourth proportional to 33,808.80, 46,640.44 and 21,876 is: 30,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,808.80 : 46,640.44 = 21,876 : x
  2. Step 2: Convert to fraction form
    33,808.80/46,640.44 = 21,876/x
  3. Step 3: Cross multiply
    33,808.80x = 46,640.44 × 21,876
  4. Step 4: Simplify right side
    33,808.80x = 1,020,306,265.44
  5. Step 5: Solve for x
    x = 1,020,306,265.44/33,808.80
  6. Step 6: Final answer
    x = 30,178.72

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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.