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Finding the Fourth Proportional to 131,092, 196,638.72 and 32,596

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Solution

The fourth proportional to 131,092, 196,638.72 and 32,596 is: 48,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,092 : 196,638.72 = 32,596 : x
  2. Step 2: Convert to fraction form
    131,092/196,638.72 = 32,596/x
  3. Step 3: Cross multiply
    131,092x = 196,638.72 × 32,596
  4. Step 4: Simplify right side
    131,092x = 6,409,635,717.12
  5. Step 5: Solve for x
    x = 6,409,635,717.12/131,092
  6. Step 6: Final answer
    x = 48,894.18

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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.