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Finding the Fourth Proportional to 71,462.40, 107,166.12 and 33,993.60

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Solution

The fourth proportional to 71,462.40, 107,166.12 and 33,993.60 is: 50,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,462.40 : 107,166.12 = 33,993.60 : x
  2. Step 2: Convert to fraction form
    71,462.40/107,166.12 = 33,993.60/x
  3. Step 3: Cross multiply
    71,462.40x = 107,166.12 × 33,993.60
  4. Step 4: Simplify right side
    71,462.40x = 3,642,962,216.83
  5. Step 5: Solve for x
    x = 3,642,962,216.83/71,462.40
  6. Step 6: Final answer
    x = 50,977.33

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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.