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Finding the Fourth Proportional to 84,847.59, 117,086.46 and 47,124.27

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Solution

The fourth proportional to 84,847.59, 117,086.46 and 47,124.27 is: 65,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,847.59 : 117,086.46 = 47,124.27 : x
  2. Step 2: Convert to fraction form
    84,847.59/117,086.46 = 47,124.27/x
  3. Step 3: Cross multiply
    84,847.59x = 117,086.46 × 47,124.27
  4. Step 4: Simplify right side
    84,847.59x = 5,517,613,954.38
  5. Step 5: Solve for x
    x = 5,517,613,954.38/84,847.59
  6. Step 6: Final answer
    x = 65,029.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.