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Finding the Fourth Proportional to 99,944.94, 149,991.64 and 47,354.60

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Solution

The fourth proportional to 99,944.94, 149,991.64 and 47,354.60 is: 71,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,944.94 : 149,991.64 = 47,354.60 : x
  2. Step 2: Convert to fraction form
    99,944.94/149,991.64 = 47,354.60/x
  3. Step 3: Cross multiply
    99,944.94x = 149,991.64 × 47,354.60
  4. Step 4: Simplify right side
    99,944.94x = 7,102,794,115.54
  5. Step 5: Solve for x
    x = 7,102,794,115.54/99,944.94
  6. Step 6: Final answer
    x = 71,067.07

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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.