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Finding the Fourth Proportional to 71,961.99, 107,942.07 and 32,491.50

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Solution

The fourth proportional to 71,961.99, 107,942.07 and 32,491.50 is: 48,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,961.99 : 107,942.07 = 32,491.50 : x
  2. Step 2: Convert to fraction form
    71,961.99/107,942.07 = 32,491.50/x
  3. Step 3: Cross multiply
    71,961.99x = 107,942.07 × 32,491.50
  4. Step 4: Simplify right side
    71,961.99x = 3,507,199,767.41
  5. Step 5: Solve for x
    x = 3,507,199,767.41/71,961.99
  6. Step 6: Final answer
    x = 48,736.84

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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.