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Finding the Fourth Proportional to 71,205.61, 106,860.98 and 33,765.81

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Solution

The fourth proportional to 71,205.61, 106,860.98 and 33,765.81 is: 50,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,205.61 : 106,860.98 = 33,765.81 : x
  2. Step 2: Convert to fraction form
    71,205.61/106,860.98 = 33,765.81/x
  3. Step 3: Cross multiply
    71,205.61x = 106,860.98 × 33,765.81
  4. Step 4: Simplify right side
    71,205.61x = 3,608,246,977.54
  5. Step 5: Solve for x
    x = 3,608,246,977.54/71,205.61
  6. Step 6: Final answer
    x = 50,673.64

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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.