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Finding the Fourth Proportional to 38,221.74, 52,749.32 and 22,311.32

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Solution

The fourth proportional to 38,221.74, 52,749.32 and 22,311.32 is: 30,791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,221.74 : 52,749.32 = 22,311.32 : x
  2. Step 2: Convert to fraction form
    38,221.74/52,749.32 = 22,311.32/x
  3. Step 3: Cross multiply
    38,221.74x = 52,749.32 × 22,311.32
  4. Step 4: Simplify right side
    38,221.74x = 1,176,906,583.00
  5. Step 5: Solve for x
    x = 1,176,906,583.00/38,221.74
  6. Step 6: Final answer
    x = 30,791.55

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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.