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Finding the Fourth Proportional to 76,778.50, 115,183.68 and 32,405.62

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Solution

The fourth proportional to 76,778.50, 115,183.68 and 32,405.62 is: 48,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,778.50 : 115,183.68 = 32,405.62 : x
  2. Step 2: Convert to fraction form
    76,778.50/115,183.68 = 32,405.62/x
  3. Step 3: Cross multiply
    76,778.50x = 115,183.68 × 32,405.62
  4. Step 4: Simplify right side
    76,778.50x = 3,732,598,564.28
  5. Step 5: Solve for x
    x = 3,732,598,564.28/76,778.50
  6. Step 6: Final answer
    x = 48,615.15

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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.