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Finding the Fourth Proportional to 33,965.57, 50,946.03 and 10,273.97

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Solution

The fourth proportional to 33,965.57, 50,946.03 and 10,273.97 is: 15,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,965.57 : 50,946.03 = 10,273.97 : x
  2. Step 2: Convert to fraction form
    33,965.57/50,946.03 = 10,273.97/x
  3. Step 3: Cross multiply
    33,965.57x = 50,946.03 × 10,273.97
  4. Step 4: Simplify right side
    33,965.57x = 523,417,729.11
  5. Step 5: Solve for x
    x = 523,417,729.11/33,965.57
  6. Step 6: Final answer
    x = 15,410.25

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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.