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Finding the Fourth Proportional to 106,338.72, 159,563.97 and 47,216.82

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Solution

The fourth proportional to 106,338.72, 159,563.97 and 47,216.82 is: 70,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,338.72 : 159,563.97 = 47,216.82 : x
  2. Step 2: Convert to fraction form
    106,338.72/159,563.97 = 47,216.82/x
  3. Step 3: Cross multiply
    106,338.72x = 159,563.97 × 47,216.82
  4. Step 4: Simplify right side
    106,338.72x = 7,534,103,249.98
  5. Step 5: Solve for x
    x = 7,534,103,249.98/106,338.72
  6. Step 6: Final answer
    x = 70,850.05

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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.