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Finding the Fourth Proportional to 33,514.78, 50,272.26 and 11,322.22

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Solution

The fourth proportional to 33,514.78, 50,272.26 and 11,322.22 is: 16,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,514.78 : 50,272.26 = 11,322.22 : x
  2. Step 2: Convert to fraction form
    33,514.78/50,272.26 = 11,322.22/x
  3. Step 3: Cross multiply
    33,514.78x = 50,272.26 × 11,322.22
  4. Step 4: Simplify right side
    33,514.78x = 569,193,587.62
  5. Step 5: Solve for x
    x = 569,193,587.62/33,514.78
  6. Step 6: Final answer
    x = 16,983.36

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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.