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Finding the Fourth Proportional to 33,514.44, 50,274 and 10,142.64

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Solution

The fourth proportional to 33,514.44, 50,274 and 10,142.64 is: 15,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,514.44 : 50,274 = 10,142.64 : x
  2. Step 2: Convert to fraction form
    33,514.44/50,274 = 10,142.64/x
  3. Step 3: Cross multiply
    33,514.44x = 50,274 × 10,142.64
  4. Step 4: Simplify right side
    33,514.44x = 509,911,083.36
  5. Step 5: Solve for x
    x = 509,911,083.36/33,514.44
  6. Step 6: Final answer
    x = 15,214.67

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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.