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Finding the Fourth Proportional to 27,188.20, 40,782.30 and 20,276.20

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Solution

The fourth proportional to 27,188.20, 40,782.30 and 20,276.20 is: 30,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188.20 : 40,782.30 = 20,276.20 : x
  2. Step 2: Convert to fraction form
    27,188.20/40,782.30 = 20,276.20/x
  3. Step 3: Cross multiply
    27,188.20x = 40,782.30 × 20,276.20
  4. Step 4: Simplify right side
    27,188.20x = 826,910,071.26
  5. Step 5: Solve for x
    x = 826,910,071.26/27,188.20
  6. Step 6: Final answer
    x = 30,414.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.