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Finding the Fourth Proportional to 36,481, 50,343.78 and 19,714

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Solution

The fourth proportional to 36,481, 50,343.78 and 19,714 is: 27,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,481 : 50,343.78 = 19,714 : x
  2. Step 2: Convert to fraction form
    36,481/50,343.78 = 19,714/x
  3. Step 3: Cross multiply
    36,481x = 50,343.78 × 19,714
  4. Step 4: Simplify right side
    36,481x = 992,477,278.92
  5. Step 5: Solve for x
    x = 992,477,278.92/36,481
  6. Step 6: Final answer
    x = 27,205.32

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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.