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Finding the Fourth Proportional to 131,085, 196,628.22 and 32,589

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Solution

The fourth proportional to 131,085, 196,628.22 and 32,589 is: 48,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,085 : 196,628.22 = 32,589 : x
  2. Step 2: Convert to fraction form
    131,085/196,628.22 = 32,589/x
  3. Step 3: Cross multiply
    131,085x = 196,628.22 × 32,589
  4. Step 4: Simplify right side
    131,085x = 6,407,917,061.58
  5. Step 5: Solve for x
    x = 6,407,917,061.58/131,085
  6. Step 6: Final answer
    x = 48,883.68

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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.