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Finding the Fourth Proportional to 128,343.15, 192,500 and 33,582.49

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Solution

The fourth proportional to 128,343.15, 192,500 and 33,582.49 is: 50,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,343.15 : 192,500 = 33,582.49 : x
  2. Step 2: Convert to fraction form
    128,343.15/192,500 = 33,582.49/x
  3. Step 3: Cross multiply
    128,343.15x = 192,500 × 33,582.49
  4. Step 4: Simplify right side
    128,343.15x = 6,464,629,325
  5. Step 5: Solve for x
    x = 6,464,629,325/128,343.15
  6. Step 6: Final answer
    x = 50,369.88

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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.