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Finding the Fourth Proportional to 33,745.32, 50,552.17 and 22,023

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Solution

The fourth proportional to 33,745.32, 50,552.17 and 22,023 is: 32,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,745.32 : 50,552.17 = 22,023 : x
  2. Step 2: Convert to fraction form
    33,745.32/50,552.17 = 22,023/x
  3. Step 3: Cross multiply
    33,745.32x = 50,552.17 × 22,023
  4. Step 4: Simplify right side
    33,745.32x = 1,113,310,384.85
  5. Step 5: Solve for x
    x = 1,113,310,384.85/33,745.32
  6. Step 6: Final answer
    x = 32,991.55

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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.