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Finding the Fourth Proportional to 107,993.87, 161,984.75 and 33,113.81

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Solution

The fourth proportional to 107,993.87, 161,984.75 and 33,113.81 is: 49,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,993.87 : 161,984.75 = 33,113.81 : x
  2. Step 2: Convert to fraction form
    107,993.87/161,984.75 = 33,113.81/x
  3. Step 3: Cross multiply
    107,993.87x = 161,984.75 × 33,113.81
  4. Step 4: Simplify right side
    107,993.87x = 5,363,932,100.96
  5. Step 5: Solve for x
    x = 5,363,932,100.96/107,993.87
  6. Step 6: Final answer
    x = 49,668.86

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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.