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Finding the Fourth Proportional to 131,020.40, 196,530.56 and 32,524.40

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Solution

The fourth proportional to 131,020.40, 196,530.56 and 32,524.40 is: 48,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,020.40 : 196,530.56 = 32,524.40 : x
  2. Step 2: Convert to fraction form
    131,020.40/196,530.56 = 32,524.40/x
  3. Step 3: Cross multiply
    131,020.40x = 196,530.56 × 32,524.40
  4. Step 4: Simplify right side
    131,020.40x = 6,392,038,545.66
  5. Step 5: Solve for x
    x = 6,392,038,545.66/131,020.40
  6. Step 6: Final answer
    x = 48,786.59

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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.