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Finding the Fourth Proportional to 33,650.73, 50,474.27 and 10,275.34

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Solution

The fourth proportional to 33,650.73, 50,474.27 and 10,275.34 is: 15,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,650.73 : 50,474.27 = 10,275.34 : x
  2. Step 2: Convert to fraction form
    33,650.73/50,474.27 = 10,275.34/x
  3. Step 3: Cross multiply
    33,650.73x = 50,474.27 × 10,275.34
  4. Step 4: Simplify right side
    33,650.73x = 518,640,285.50
  5. Step 5: Solve for x
    x = 518,640,285.50/33,650.73
  6. Step 6: Final answer
    x = 15,412.45

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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.