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Finding the Fourth Proportional to 83,171.25, 114,776.19 and 47,361.27

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Solution

The fourth proportional to 83,171.25, 114,776.19 and 47,361.27 is: 65,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,171.25 : 114,776.19 = 47,361.27 : x
  2. Step 2: Convert to fraction form
    83,171.25/114,776.19 = 47,361.27/x
  3. Step 3: Cross multiply
    83,171.25x = 114,776.19 × 47,361.27
  4. Step 4: Simplify right side
    83,171.25x = 5,435,946,124.16
  5. Step 5: Solve for x
    x = 5,435,946,124.16/83,171.25
  6. Step 6: Final answer
    x = 65,358.48

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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.