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Finding the Fourth Proportional to 32,563.80, 48,882.15 and 25,200.90

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Solution

The fourth proportional to 32,563.80, 48,882.15 and 25,200.90 is: 37,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563.80 : 48,882.15 = 25,200.90 : x
  2. Step 2: Convert to fraction form
    32,563.80/48,882.15 = 25,200.90/x
  3. Step 3: Cross multiply
    32,563.80x = 48,882.15 × 25,200.90
  4. Step 4: Simplify right side
    32,563.80x = 1,231,874,173.94
  5. Step 5: Solve for x
    x = 1,231,874,173.94/32,563.80
  6. Step 6: Final answer
    x = 37,829.56

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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.