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Finding the Fourth Proportional to 43,711, 60,321.24 and 23,839

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Solution

The fourth proportional to 43,711, 60,321.24 and 23,839 is: 32,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,711 : 60,321.24 = 23,839 : x
  2. Step 2: Convert to fraction form
    43,711/60,321.24 = 23,839/x
  3. Step 3: Cross multiply
    43,711x = 60,321.24 × 23,839
  4. Step 4: Simplify right side
    43,711x = 1,437,998,040.36
  5. Step 5: Solve for x
    x = 1,437,998,040.36/43,711
  6. Step 6: Final answer
    x = 32,897.85

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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.