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Finding the Fourth Proportional to 22,150, 33,225.12 and 5,734

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Solution

The fourth proportional to 22,150, 33,225.12 and 5,734 is: 8,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,150 : 33,225.12 = 5,734 : x
  2. Step 2: Convert to fraction form
    22,150/33,225.12 = 5,734/x
  3. Step 3: Cross multiply
    22,150x = 33,225.12 × 5,734
  4. Step 4: Simplify right side
    22,150x = 190,512,838.08
  5. Step 5: Solve for x
    x = 190,512,838.08/22,150
  6. Step 6: Final answer
    x = 8,601.03

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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.