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Finding the Fourth Proportional to 36,146.94, 49,882.32 and 20,231.52

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Solution

The fourth proportional to 36,146.94, 49,882.32 and 20,231.52 is: 27,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,146.94 : 49,882.32 = 20,231.52 : x
  2. Step 2: Convert to fraction form
    36,146.94/49,882.32 = 20,231.52/x
  3. Step 3: Cross multiply
    36,146.94x = 49,882.32 × 20,231.52
  4. Step 4: Simplify right side
    36,146.94x = 1,009,195,154.73
  5. Step 5: Solve for x
    x = 1,009,195,154.73/36,146.94
  6. Step 6: Final answer
    x = 27,919.24

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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.