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Finding the Fourth Proportional to 36,843.26, 55,264.73 and 10,548

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Solution

The fourth proportional to 36,843.26, 55,264.73 and 10,548 is: 15,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,843.26 : 55,264.73 = 10,548 : x
  2. Step 2: Convert to fraction form
    36,843.26/55,264.73 = 10,548/x
  3. Step 3: Cross multiply
    36,843.26x = 55,264.73 × 10,548
  4. Step 4: Simplify right side
    36,843.26x = 582,932,398.41
  5. Step 5: Solve for x
    x = 582,932,398.41/36,843.26
  6. Step 6: Final answer
    x = 15,821.95

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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.