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Finding the Fourth Proportional to 33,706.76, 50,564.74 and 11,514.12

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Solution

The fourth proportional to 33,706.76, 50,564.74 and 11,514.12 is: 17,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706.76 : 50,564.74 = 11,514.12 : x
  2. Step 2: Convert to fraction form
    33,706.76/50,564.74 = 11,514.12/x
  3. Step 3: Cross multiply
    33,706.76x = 50,564.74 × 11,514.12
  4. Step 4: Simplify right side
    33,706.76x = 582,208,484.13
  5. Step 5: Solve for x
    x = 582,208,484.13/33,706.76
  6. Step 6: Final answer
    x = 17,272.75

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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.