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Finding the Fourth Proportional to 33,713.77, 46,515.41 and 20,278.30

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Solution

The fourth proportional to 33,713.77, 46,515.41 and 20,278.30 is: 27,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,713.77 : 46,515.41 = 20,278.30 : x
  2. Step 2: Convert to fraction form
    33,713.77/46,515.41 = 20,278.30/x
  3. Step 3: Cross multiply
    33,713.77x = 46,515.41 × 20,278.30
  4. Step 4: Simplify right side
    33,713.77x = 943,253,296.97
  5. Step 5: Solve for x
    x = 943,253,296.97/33,713.77
  6. Step 6: Final answer
    x = 27,978.28

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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.