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Finding the Fourth Proportional to 131,107, 196,661.22 and 32,611

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Solution

The fourth proportional to 131,107, 196,661.22 and 32,611 is: 48,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,107 : 196,661.22 = 32,611 : x
  2. Step 2: Convert to fraction form
    131,107/196,661.22 = 32,611/x
  3. Step 3: Cross multiply
    131,107x = 196,661.22 × 32,611
  4. Step 4: Simplify right side
    131,107x = 6,413,319,045.42
  5. Step 5: Solve for x
    x = 6,413,319,045.42/131,107
  6. Step 6: Final answer
    x = 48,916.68

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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.