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Finding the Fourth Proportional to 83,672.80, 125,395.17 and 46,177

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Solution

The fourth proportional to 83,672.80, 125,395.17 and 46,177 is: 69,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,672.80 : 125,395.17 = 46,177 : x
  2. Step 2: Convert to fraction form
    83,672.80/125,395.17 = 46,177/x
  3. Step 3: Cross multiply
    83,672.80x = 125,395.17 × 46,177
  4. Step 4: Simplify right side
    83,672.80x = 5,790,372,765.09
  5. Step 5: Solve for x
    x = 5,790,372,765.09/83,672.80
  6. Step 6: Final answer
    x = 69,202.57

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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.