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Finding the Fourth Proportional to 38,743, 53,440.38 and 23,839.96

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Solution

The fourth proportional to 38,743, 53,440.38 and 23,839.96 is: 32,883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,743 : 53,440.38 = 23,839.96 : x
  2. Step 2: Convert to fraction form
    38,743/53,440.38 = 23,839.96/x
  3. Step 3: Cross multiply
    38,743x = 53,440.38 × 23,839.96
  4. Step 4: Simplify right side
    38,743x = 1,274,016,521.58
  5. Step 5: Solve for x
    x = 1,274,016,521.58/38,743
  6. Step 6: Final answer
    x = 32,883.79

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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.