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Finding the Fourth Proportional to 36,876.92, 50,894.06 and 22,545.14

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Solution

The fourth proportional to 36,876.92, 50,894.06 and 22,545.14 is: 31,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,876.92 : 50,894.06 = 22,545.14 : x
  2. Step 2: Convert to fraction form
    36,876.92/50,894.06 = 22,545.14/x
  3. Step 3: Cross multiply
    36,876.92x = 50,894.06 × 22,545.14
  4. Step 4: Simplify right side
    36,876.92x = 1,147,413,707.87
  5. Step 5: Solve for x
    x = 1,147,413,707.87/36,876.92
  6. Step 6: Final answer
    x = 31,114.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.