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Finding the Fourth Proportional to 33,720.30, 46,519.11 and 20,283.82

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Solution

The fourth proportional to 33,720.30, 46,519.11 and 20,283.82 is: 27,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,720.30 : 46,519.11 = 20,283.82 : x
  2. Step 2: Convert to fraction form
    33,720.30/46,519.11 = 20,283.82/x
  3. Step 3: Cross multiply
    33,720.30x = 46,519.11 × 20,283.82
  4. Step 4: Simplify right side
    33,720.30x = 943,585,137.50
  5. Step 5: Solve for x
    x = 943,585,137.50/33,720.30
  6. Step 6: Final answer
    x = 27,982.70

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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.