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Finding the Fourth Proportional to 38,221.78, 52,744.27 and 21,227.11

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Solution

The fourth proportional to 38,221.78, 52,744.27 and 21,227.11 is: 29,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,221.78 : 52,744.27 = 21,227.11 : x
  2. Step 2: Convert to fraction form
    38,221.78/52,744.27 = 21,227.11/x
  3. Step 3: Cross multiply
    38,221.78x = 52,744.27 × 21,227.11
  4. Step 4: Simplify right side
    38,221.78x = 1,119,608,421.16
  5. Step 5: Solve for x
    x = 1,119,608,421.16/38,221.78
  6. Step 6: Final answer
    x = 29,292.42

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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.