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Finding the Fourth Proportional to 128,414.20, 192,621.30 and 33,644.20

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Solution

The fourth proportional to 128,414.20, 192,621.30 and 33,644.20 is: 50,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,414.20 : 192,621.30 = 33,644.20 : x
  2. Step 2: Convert to fraction form
    128,414.20/192,621.30 = 33,644.20/x
  3. Step 3: Cross multiply
    128,414.20x = 192,621.30 × 33,644.20
  4. Step 4: Simplify right side
    128,414.20x = 6,480,589,541.46
  5. Step 5: Solve for x
    x = 6,480,589,541.46/128,414.20
  6. Step 6: Final answer
    x = 50,466.30

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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.