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Finding the Fourth Proportional to 38,921.20, 53,701.52 and 21,922

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Solution

The fourth proportional to 38,921.20, 53,701.52 and 21,922 is: 30,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,921.20 : 53,701.52 = 21,922 : x
  2. Step 2: Convert to fraction form
    38,921.20/53,701.52 = 21,922/x
  3. Step 3: Cross multiply
    38,921.20x = 53,701.52 × 21,922
  4. Step 4: Simplify right side
    38,921.20x = 1,177,244,721.44
  5. Step 5: Solve for x
    x = 1,177,244,721.44/38,921.20
  6. Step 6: Final answer
    x = 30,246.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.