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Finding the Fourth Proportional to 33,540.42, 50,325 and 11,356.14

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Solution

The fourth proportional to 33,540.42, 50,325 and 11,356.14 is: 17,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,540.42 : 50,325 = 11,356.14 : x
  2. Step 2: Convert to fraction form
    33,540.42/50,325 = 11,356.14/x
  3. Step 3: Cross multiply
    33,540.42x = 50,325 × 11,356.14
  4. Step 4: Simplify right side
    33,540.42x = 571,497,745.50
  5. Step 5: Solve for x
    x = 571,497,745.50/33,540.42
  6. Step 6: Final answer
    x = 17,039.08

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Why These Related Problems?

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