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Finding the Fourth Proportional to 33,778.42, 46,583.94 and 21,829.24

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Solution

The fourth proportional to 33,778.42, 46,583.94 and 21,829.24 is: 30,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,778.42 : 46,583.94 = 21,829.24 : x
  2. Step 2: Convert to fraction form
    33,778.42/46,583.94 = 21,829.24/x
  3. Step 3: Cross multiply
    33,778.42x = 46,583.94 × 21,829.24
  4. Step 4: Simplify right side
    33,778.42x = 1,016,892,006.41
  5. Step 5: Solve for x
    x = 1,016,892,006.41/33,778.42
  6. Step 6: Final answer
    x = 30,104.78

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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.