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Finding the Fourth Proportional to 33,706.12, 50,565.12 and 11,514.30

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Solution

The fourth proportional to 33,706.12, 50,565.12 and 11,514.30 is: 17,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706.12 : 50,565.12 = 11,514.30 : x
  2. Step 2: Convert to fraction form
    33,706.12/50,565.12 = 11,514.30/x
  3. Step 3: Cross multiply
    33,706.12x = 50,565.12 × 11,514.30
  4. Step 4: Simplify right side
    33,706.12x = 582,221,961.22
  5. Step 5: Solve for x
    x = 582,221,961.22/33,706.12
  6. Step 6: Final answer
    x = 17,273.48

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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.