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Finding the Fourth Proportional to 114,571.82, 171,654.39 and 47,865.14

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Solution

The fourth proportional to 114,571.82, 171,654.39 and 47,865.14 is: 71,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,571.82 : 171,654.39 = 47,865.14 : x
  2. Step 2: Convert to fraction form
    114,571.82/171,654.39 = 47,865.14/x
  3. Step 3: Cross multiply
    114,571.82x = 171,654.39 × 47,865.14
  4. Step 4: Simplify right side
    114,571.82x = 8,216,261,408.96
  5. Step 5: Solve for x
    x = 8,216,261,408.96/114,571.82
  6. Step 6: Final answer
    x = 71,712.76

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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.