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Finding the Fourth Proportional to 38,222.40, 52,745.12 and 21,227.74

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Solution

The fourth proportional to 38,222.40, 52,745.12 and 21,227.74 is: 29,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,222.40 : 52,745.12 = 21,227.74 : x
  2. Step 2: Convert to fraction form
    38,222.40/52,745.12 = 21,227.74/x
  3. Step 3: Cross multiply
    38,222.40x = 52,745.12 × 21,227.74
  4. Step 4: Simplify right side
    38,222.40x = 1,119,659,654.64
  5. Step 5: Solve for x
    x = 1,119,659,654.64/38,222.40
  6. Step 6: Final answer
    x = 29,293.29

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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.