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Finding the Fourth Proportional to 68,545.72, 102,801.30 and 32,971.96

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Solution

The fourth proportional to 68,545.72, 102,801.30 and 32,971.96 is: 49,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,545.72 : 102,801.30 = 32,971.96 : x
  2. Step 2: Convert to fraction form
    68,545.72/102,801.30 = 32,971.96/x
  3. Step 3: Cross multiply
    68,545.72x = 102,801.30 × 32,971.96
  4. Step 4: Simplify right side
    68,545.72x = 3,389,560,351.55
  5. Step 5: Solve for x
    x = 3,389,560,351.55/68,545.72
  6. Step 6: Final answer
    x = 49,449.63

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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.