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Finding the Fourth Proportional to 33,841.52, 50,760.12 and 10,466

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Solution

The fourth proportional to 33,841.52, 50,760.12 and 10,466 is: 15,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,841.52 : 50,760.12 = 10,466 : x
  2. Step 2: Convert to fraction form
    33,841.52/50,760.12 = 10,466/x
  3. Step 3: Cross multiply
    33,841.52x = 50,760.12 × 10,466
  4. Step 4: Simplify right side
    33,841.52x = 531,255,415.92
  5. Step 5: Solve for x
    x = 531,255,415.92/33,841.52
  6. Step 6: Final answer
    x = 15,698.33

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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.