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Finding the Fourth Proportional to 50,803.44, 76,192.86 and 21,205.24

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Solution

The fourth proportional to 50,803.44, 76,192.86 and 21,205.24 is: 31,802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,803.44 : 76,192.86 = 21,205.24 : x
  2. Step 2: Convert to fraction form
    50,803.44/76,192.86 = 21,205.24/x
  3. Step 3: Cross multiply
    50,803.44x = 76,192.86 × 21,205.24
  4. Step 4: Simplify right side
    50,803.44x = 1,615,687,882.59
  5. Step 5: Solve for x
    x = 1,615,687,882.59/50,803.44
  6. Step 6: Final answer
    x = 31,802.73

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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.