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Finding the Fourth Proportional to 71,119.67, 106,732.00 and 33,679.68

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Solution

The fourth proportional to 71,119.67, 106,732.00 and 33,679.68 is: 50,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,119.67 : 106,732.00 = 33,679.68 : x
  2. Step 2: Convert to fraction form
    71,119.67/106,732.00 = 33,679.68/x
  3. Step 3: Cross multiply
    71,119.67x = 106,732.00 × 33,679.68
  4. Step 4: Simplify right side
    71,119.67x = 3,594,698,903.70
  5. Step 5: Solve for x
    x = 3,594,698,903.70/71,119.67
  6. Step 6: Final answer
    x = 50,544.37

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Why These Related Problems?

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