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Finding the Fourth Proportional to 33,454.05, 50,181.16 and 11,283

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Solution

The fourth proportional to 33,454.05, 50,181.16 and 11,283 is: 16,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454.05 : 50,181.16 = 11,283 : x
  2. Step 2: Convert to fraction form
    33,454.05/50,181.16 = 11,283/x
  3. Step 3: Cross multiply
    33,454.05x = 50,181.16 × 11,283
  4. Step 4: Simplify right side
    33,454.05x = 566,194,028.28
  5. Step 5: Solve for x
    x = 566,194,028.28/33,454.05
  6. Step 6: Final answer
    x = 16,924.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.