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Finding the Fourth Proportional to 36,116.20, 49,842.90 and 20,202.12

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Solution

The fourth proportional to 36,116.20, 49,842.90 and 20,202.12 is: 27,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,116.20 : 49,842.90 = 20,202.12 : x
  2. Step 2: Convert to fraction form
    36,116.20/49,842.90 = 20,202.12/x
  3. Step 3: Cross multiply
    36,116.20x = 49,842.90 × 20,202.12
  4. Step 4: Simplify right side
    36,116.20x = 1,006,932,246.95
  5. Step 5: Solve for x
    x = 1,006,932,246.95/36,116.20
  6. Step 6: Final answer
    x = 27,880.35

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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.