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Finding the Fourth Proportional to 114,768.82, 172,163.15 and 31,662.82

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Solution

The fourth proportional to 114,768.82, 172,163.15 and 31,662.82 is: 47,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,768.82 : 172,163.15 = 31,662.82 : x
  2. Step 2: Convert to fraction form
    114,768.82/172,163.15 = 31,662.82/x
  3. Step 3: Cross multiply
    114,768.82x = 172,163.15 × 31,662.82
  4. Step 4: Simplify right side
    114,768.82x = 5,451,170,829.08
  5. Step 5: Solve for x
    x = 5,451,170,829.08/114,768.82
  6. Step 6: Final answer
    x = 47,496.97

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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.