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Finding the Fourth Proportional to 37,864.80, 52,249.68 and 21,096

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Solution

The fourth proportional to 37,864.80, 52,249.68 and 21,096 is: 29,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,864.80 : 52,249.68 = 21,096 : x
  2. Step 2: Convert to fraction form
    37,864.80/52,249.68 = 21,096/x
  3. Step 3: Cross multiply
    37,864.80x = 52,249.68 × 21,096
  4. Step 4: Simplify right side
    37,864.80x = 1,102,259,249.28
  5. Step 5: Solve for x
    x = 1,102,259,249.28/37,864.80
  6. Step 6: Final answer
    x = 29,110.39

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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.