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Finding the Fourth Proportional to 47,797.56, 71,716.50 and 25,605

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Solution

The fourth proportional to 47,797.56, 71,716.50 and 25,605 is: 38,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,797.56 : 71,716.50 = 25,605 : x
  2. Step 2: Convert to fraction form
    47,797.56/71,716.50 = 25,605/x
  3. Step 3: Cross multiply
    47,797.56x = 71,716.50 × 25,605
  4. Step 4: Simplify right side
    47,797.56x = 1,836,300,982.50
  5. Step 5: Solve for x
    x = 1,836,300,982.50/47,797.56
  6. Step 6: Final answer
    x = 38,418.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.