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Finding the Fourth Proportional to 33,284.16, 45,930.24 and 18,380.16

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Solution

The fourth proportional to 33,284.16, 45,930.24 and 18,380.16 is: 25,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,284.16 : 45,930.24 = 18,380.16 : x
  2. Step 2: Convert to fraction form
    33,284.16/45,930.24 = 18,380.16/x
  3. Step 3: Cross multiply
    33,284.16x = 45,930.24 × 18,380.16
  4. Step 4: Simplify right side
    33,284.16x = 844,205,160.04
  5. Step 5: Solve for x
    x = 844,205,160.04/33,284.16
  6. Step 6: Final answer
    x = 25,363.57

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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.