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Finding the Fourth Proportional to 36,753.48, 50,726.84 and 20,838

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Solution

The fourth proportional to 36,753.48, 50,726.84 and 20,838 is: 28,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,753.48 : 50,726.84 = 20,838 : x
  2. Step 2: Convert to fraction form
    36,753.48/50,726.84 = 20,838/x
  3. Step 3: Cross multiply
    36,753.48x = 50,726.84 × 20,838
  4. Step 4: Simplify right side
    36,753.48x = 1,057,045,891.92
  5. Step 5: Solve for x
    x = 1,057,045,891.92/36,753.48
  6. Step 6: Final answer
    x = 28,760.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.