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Finding the Fourth Proportional to 36,906.30, 50,916 and 22,734.54

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Solution

The fourth proportional to 36,906.30, 50,916 and 22,734.54 is: 31,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,906.30 : 50,916 = 22,734.54 : x
  2. Step 2: Convert to fraction form
    36,906.30/50,916 = 22,734.54/x
  3. Step 3: Cross multiply
    36,906.30x = 50,916 × 22,734.54
  4. Step 4: Simplify right side
    36,906.30x = 1,157,551,838.64
  5. Step 5: Solve for x
    x = 1,157,551,838.64/36,906.30
  6. Step 6: Final answer
    x = 31,364.61

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1.5x scale

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.