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Finding the Fourth Proportional to 114,086.67, 171,015.12 and 47,563.62

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Solution

The fourth proportional to 114,086.67, 171,015.12 and 47,563.62 is: 71,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,086.67 : 171,015.12 = 47,563.62 : x
  2. Step 2: Convert to fraction form
    114,086.67/171,015.12 = 47,563.62/x
  3. Step 3: Cross multiply
    114,086.67x = 171,015.12 × 47,563.62
  4. Step 4: Simplify right side
    114,086.67x = 8,134,098,181.93
  5. Step 5: Solve for x
    x = 8,134,098,181.93/114,086.67
  6. Step 6: Final answer
    x = 71,297.53

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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.