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Finding the Fourth Proportional to 33,640.74, 46,422 and 20,204.01

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Solution

The fourth proportional to 33,640.74, 46,422 and 20,204.01 is: 27,880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,640.74 : 46,422 = 20,204.01 : x
  2. Step 2: Convert to fraction form
    33,640.74/46,422 = 20,204.01/x
  3. Step 3: Cross multiply
    33,640.74x = 46,422 × 20,204.01
  4. Step 4: Simplify right side
    33,640.74x = 937,910,552.22
  5. Step 5: Solve for x
    x = 937,910,552.22/33,640.74
  6. Step 6: Final answer
    x = 27,880.20

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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.