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Finding the Fourth Proportional to 131,093, 196,640.22 and 32,597

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Solution

The fourth proportional to 131,093, 196,640.22 and 32,597 is: 48,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,093 : 196,640.22 = 32,597 : x
  2. Step 2: Convert to fraction form
    131,093/196,640.22 = 32,597/x
  3. Step 3: Cross multiply
    131,093x = 196,640.22 × 32,597
  4. Step 4: Simplify right side
    131,093x = 6,409,881,251.34
  5. Step 5: Solve for x
    x = 6,409,881,251.34/131,093
  6. Step 6: Final answer
    x = 48,895.68

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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.