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Finding the Fourth Proportional to 87,827, 131,740.80 and 21,267

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Solution

The fourth proportional to 87,827, 131,740.80 and 21,267 is: 31,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,827 : 131,740.80 = 21,267 : x
  2. Step 2: Convert to fraction form
    87,827/131,740.80 = 21,267/x
  3. Step 3: Cross multiply
    87,827x = 131,740.80 × 21,267
  4. Step 4: Simplify right side
    87,827x = 2,801,731,593.60
  5. Step 5: Solve for x
    x = 2,801,731,593.60/87,827
  6. Step 6: Final answer
    x = 31,900.57

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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.