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Finding the Fourth Proportional to 36,858, 50,864.46 and 20,091

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Solution

The fourth proportional to 36,858, 50,864.46 and 20,091 is: 27,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,858 : 50,864.46 = 20,091 : x
  2. Step 2: Convert to fraction form
    36,858/50,864.46 = 20,091/x
  3. Step 3: Cross multiply
    36,858x = 50,864.46 × 20,091
  4. Step 4: Simplify right side
    36,858x = 1,021,917,865.86
  5. Step 5: Solve for x
    x = 1,021,917,865.86/36,858
  6. Step 6: Final answer
    x = 27,725.81

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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.