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Finding the Fourth Proportional to 36,145.28, 49,869.12 and 20,227.20

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Solution

The fourth proportional to 36,145.28, 49,869.12 and 20,227.20 is: 27,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,145.28 : 49,869.12 = 20,227.20 : x
  2. Step 2: Convert to fraction form
    36,145.28/49,869.12 = 20,227.20/x
  3. Step 3: Cross multiply
    36,145.28x = 49,869.12 × 20,227.20
  4. Step 4: Simplify right side
    36,145.28x = 1,008,712,664.06
  5. Step 5: Solve for x
    x = 1,008,712,664.06/36,145.28
  6. Step 6: Final answer
    x = 27,907.18

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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.