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Finding the Fourth Proportional to 87,706.54, 131,559.54 and 31,546.56

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Solution

The fourth proportional to 87,706.54, 131,559.54 and 31,546.56 is: 47,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,706.54 : 131,559.54 = 31,546.56 : x
  2. Step 2: Convert to fraction form
    87,706.54/131,559.54 = 31,546.56/x
  3. Step 3: Cross multiply
    87,706.54x = 131,559.54 × 31,546.56
  4. Step 4: Simplify right side
    87,706.54x = 4,150,250,922.18
  5. Step 5: Solve for x
    x = 4,150,250,922.18/87,706.54
  6. Step 6: Final answer
    x = 47,319.74

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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.