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Finding the Fourth Proportional to 36,902, 50,924.76 and 20,135

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Solution

The fourth proportional to 36,902, 50,924.76 and 20,135 is: 27,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,902 : 50,924.76 = 20,135 : x
  2. Step 2: Convert to fraction form
    36,902/50,924.76 = 20,135/x
  3. Step 3: Cross multiply
    36,902x = 50,924.76 × 20,135
  4. Step 4: Simplify right side
    36,902x = 1,025,370,042.60
  5. Step 5: Solve for x
    x = 1,025,370,042.60/36,902
  6. Step 6: Final answer
    x = 27,786.30

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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.