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Finding the Fourth Proportional to 38,284.50, 52,832.61 and 21,517.50

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Solution

The fourth proportional to 38,284.50, 52,832.61 and 21,517.50 is: 29,694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,284.50 : 52,832.61 = 21,517.50 : x
  2. Step 2: Convert to fraction form
    38,284.50/52,832.61 = 21,517.50/x
  3. Step 3: Cross multiply
    38,284.50x = 52,832.61 × 21,517.50
  4. Step 4: Simplify right side
    38,284.50x = 1,136,825,685.68
  5. Step 5: Solve for x
    x = 1,136,825,685.68/38,284.50
  6. Step 6: Final answer
    x = 29,694.15

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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.