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Finding the Fourth Proportional to 128,410.20, 192,615.30 and 33,640.20

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Solution

The fourth proportional to 128,410.20, 192,615.30 and 33,640.20 is: 50,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,410.20 : 192,615.30 = 33,640.20 : x
  2. Step 2: Convert to fraction form
    128,410.20/192,615.30 = 33,640.20/x
  3. Step 3: Cross multiply
    128,410.20x = 192,615.30 × 33,640.20
  4. Step 4: Simplify right side
    128,410.20x = 6,479,617,215.06
  5. Step 5: Solve for x
    x = 6,479,617,215.06/128,410.20
  6. Step 6: Final answer
    x = 50,460.30

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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.