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Finding the Fourth Proportional to 38,221.14, 52,751.44 and 22,305.54

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Solution

The fourth proportional to 38,221.14, 52,751.44 and 22,305.54 is: 30,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,221.14 : 52,751.44 = 22,305.54 : x
  2. Step 2: Convert to fraction form
    38,221.14/52,751.44 = 22,305.54/x
  3. Step 3: Cross multiply
    38,221.14x = 52,751.44 × 22,305.54
  4. Step 4: Simplify right side
    38,221.14x = 1,176,649,354.98
  5. Step 5: Solve for x
    x = 1,176,649,354.98/38,221.14
  6. Step 6: Final answer
    x = 30,785.30

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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.