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Finding the Fourth Proportional to 69,286.50, 95,608.22 and 51,146.88

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Solution

The fourth proportional to 69,286.50, 95,608.22 and 51,146.88 is: 70,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,286.50 : 95,608.22 = 51,146.88 : x
  2. Step 2: Convert to fraction form
    69,286.50/95,608.22 = 51,146.88/x
  3. Step 3: Cross multiply
    69,286.50x = 95,608.22 × 51,146.88
  4. Step 4: Simplify right side
    69,286.50x = 4,890,062,155.35
  5. Step 5: Solve for x
    x = 4,890,062,155.35/69,286.50
  6. Step 6: Final answer
    x = 70,577.42

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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.