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Finding the Fourth Proportional to 33,906.76, 46,813.20 and 21,812.64

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Solution

The fourth proportional to 33,906.76, 46,813.20 and 21,812.64 is: 30,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,906.76 : 46,813.20 = 21,812.64 : x
  2. Step 2: Convert to fraction form
    33,906.76/46,813.20 = 21,812.64/x
  3. Step 3: Cross multiply
    33,906.76x = 46,813.20 × 21,812.64
  4. Step 4: Simplify right side
    33,906.76x = 1,021,119,478.85
  5. Step 5: Solve for x
    x = 1,021,119,478.85/33,906.76
  6. Step 6: Final answer
    x = 30,115.51

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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.