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Finding the Fourth Proportional to 36,481.40, 50,344.32 and 19,714.40

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Solution

The fourth proportional to 36,481.40, 50,344.32 and 19,714.40 is: 27,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,481.40 : 50,344.32 = 19,714.40 : x
  2. Step 2: Convert to fraction form
    36,481.40/50,344.32 = 19,714.40/x
  3. Step 3: Cross multiply
    36,481.40x = 50,344.32 × 19,714.40
  4. Step 4: Simplify right side
    36,481.40x = 992,508,062.21
  5. Step 5: Solve for x
    x = 992,508,062.21/36,481.40
  6. Step 6: Final answer
    x = 27,205.87

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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.