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Finding the Fourth Proportional to 36,949.32, 50,989.86 and 20,182.20

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Solution

The fourth proportional to 36,949.32, 50,989.86 and 20,182.20 is: 27,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,949.32 : 50,989.86 = 20,182.20 : x
  2. Step 2: Convert to fraction form
    36,949.32/50,989.86 = 20,182.20/x
  3. Step 3: Cross multiply
    36,949.32x = 50,989.86 × 20,182.20
  4. Step 4: Simplify right side
    36,949.32x = 1,029,087,552.49
  5. Step 5: Solve for x
    x = 1,029,087,552.49/36,949.32
  6. Step 6: Final answer
    x = 27,851.33

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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.