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Finding the Fourth Proportional to 131,106, 196,659.72 and 32,610

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Solution

The fourth proportional to 131,106, 196,659.72 and 32,610 is: 48,915.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,106 : 196,659.72 = 32,610 : x
  2. Step 2: Convert to fraction form
    131,106/196,659.72 = 32,610/x
  3. Step 3: Cross multiply
    131,106x = 196,659.72 × 32,610
  4. Step 4: Simplify right side
    131,106x = 6,413,073,469.20
  5. Step 5: Solve for x
    x = 6,413,073,469.20/131,106
  6. Step 6: Final answer
    x = 48,915.18

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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.