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Finding the Fourth Proportional to 33,832.45, 50,745.03 and 8,875

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Solution

The fourth proportional to 33,832.45, 50,745.03 and 8,875 is: 13,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,832.45 : 50,745.03 = 8,875 : x
  2. Step 2: Convert to fraction form
    33,832.45/50,745.03 = 8,875/x
  3. Step 3: Cross multiply
    33,832.45x = 50,745.03 × 8,875
  4. Step 4: Simplify right side
    33,832.45x = 450,362,141.25
  5. Step 5: Solve for x
    x = 450,362,141.25/33,832.45
  6. Step 6: Final answer
    x = 13,311.54

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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.