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Finding the Fourth Proportional to 38,162.20, 52,663.78 and 21,395.20

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Solution

The fourth proportional to 38,162.20, 52,663.78 and 21,395.20 is: 29,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,162.20 : 52,663.78 = 21,395.20 : x
  2. Step 2: Convert to fraction form
    38,162.20/52,663.78 = 21,395.20/x
  3. Step 3: Cross multiply
    38,162.20x = 52,663.78 × 21,395.20
  4. Step 4: Simplify right side
    38,162.20x = 1,126,752,105.86
  5. Step 5: Solve for x
    x = 1,126,752,105.86/38,162.20
  6. Step 6: Final answer
    x = 29,525.34

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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.