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Finding the Fourth Proportional to 48,023.60, 71,982.60 and 16,842.80

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Solution

The fourth proportional to 48,023.60, 71,982.60 and 16,842.80 is: 25,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,023.60 : 71,982.60 = 16,842.80 : x
  2. Step 2: Convert to fraction form
    48,023.60/71,982.60 = 16,842.80/x
  3. Step 3: Cross multiply
    48,023.60x = 71,982.60 × 16,842.80
  4. Step 4: Simplify right side
    48,023.60x = 1,212,388,535.28
  5. Step 5: Solve for x
    x = 1,212,388,535.28/48,023.60
  6. Step 6: Final answer
    x = 25,245.68

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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.