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Finding the Fourth Proportional to 33,057.31, 45,619.14 and 17,949.75

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Solution

The fourth proportional to 33,057.31, 45,619.14 and 17,949.75 is: 24,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,057.31 : 45,619.14 = 17,949.75 : x
  2. Step 2: Convert to fraction form
    33,057.31/45,619.14 = 17,949.75/x
  3. Step 3: Cross multiply
    33,057.31x = 45,619.14 × 17,949.75
  4. Step 4: Simplify right side
    33,057.31x = 818,852,158.22
  5. Step 5: Solve for x
    x = 818,852,158.22/33,057.31
  6. Step 6: Final answer
    x = 24,770.68

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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.