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Finding the Fourth Proportional to 131,077, 196,616.22 and 32,581

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Solution

The fourth proportional to 131,077, 196,616.22 and 32,581 is: 48,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,077 : 196,616.22 = 32,581 : x
  2. Step 2: Convert to fraction form
    131,077/196,616.22 = 32,581/x
  3. Step 3: Cross multiply
    131,077x = 196,616.22 × 32,581
  4. Step 4: Simplify right side
    131,077x = 6,405,953,063.82
  5. Step 5: Solve for x
    x = 6,405,953,063.82/131,077
  6. Step 6: Final answer
    x = 48,871.68

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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.