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Finding the Fourth Proportional to 36,110, 49,831.38 and 20,194.30

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Solution

The fourth proportional to 36,110, 49,831.38 and 20,194.30 is: 27,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,110 : 49,831.38 = 20,194.30 : x
  2. Step 2: Convert to fraction form
    36,110/49,831.38 = 20,194.30/x
  3. Step 3: Cross multiply
    36,110x = 49,831.38 × 20,194.30
  4. Step 4: Simplify right side
    36,110x = 1,006,309,837.13
  5. Step 5: Solve for x
    x = 1,006,309,837.13/36,110
  6. Step 6: Final answer
    x = 27,867.90

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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.