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Finding the Fourth Proportional to 36,772.88, 50,746.92 and 21,866

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Solution

The fourth proportional to 36,772.88, 50,746.92 and 21,866 is: 30,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,772.88 : 50,746.92 = 21,866 : x
  2. Step 2: Convert to fraction form
    36,772.88/50,746.92 = 21,866/x
  3. Step 3: Cross multiply
    36,772.88x = 50,746.92 × 21,866
  4. Step 4: Simplify right side
    36,772.88x = 1,109,632,152.72
  5. Step 5: Solve for x
    x = 1,109,632,152.72/36,772.88
  6. Step 6: Final answer
    x = 30,175.29

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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.