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Finding the Fourth Proportional to 34,257.44, 47,282.90 and 20,825.84

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Solution

The fourth proportional to 34,257.44, 47,282.90 and 20,825.84 is: 28,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,257.44 : 47,282.90 = 20,825.84 : x
  2. Step 2: Convert to fraction form
    34,257.44/47,282.90 = 20,825.84/x
  3. Step 3: Cross multiply
    34,257.44x = 47,282.90 × 20,825.84
  4. Step 4: Simplify right side
    34,257.44x = 984,706,124.21
  5. Step 5: Solve for x
    x = 984,706,124.21/34,257.44
  6. Step 6: Final answer
    x = 28,744.30

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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.