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Finding the Fourth Proportional to 36,422.16, 50,261.80 and 20,289.40

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Solution

The fourth proportional to 36,422.16, 50,261.80 and 20,289.40 is: 27,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,422.16 : 50,261.80 = 20,289.40 : x
  2. Step 2: Convert to fraction form
    36,422.16/50,261.80 = 20,289.40/x
  3. Step 3: Cross multiply
    36,422.16x = 50,261.80 × 20,289.40
  4. Step 4: Simplify right side
    36,422.16x = 1,019,781,764.92
  5. Step 5: Solve for x
    x = 1,019,781,764.92/36,422.16
  6. Step 6: Final answer
    x = 27,998.94

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