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Finding the Fourth Proportional to 50,510.30, 75,765.83 and 22,422.80

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Solution

The fourth proportional to 50,510.30, 75,765.83 and 22,422.80 is: 33,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,510.30 : 75,765.83 = 22,422.80 : x
  2. Step 2: Convert to fraction form
    50,510.30/75,765.83 = 22,422.80/x
  3. Step 3: Cross multiply
    50,510.30x = 75,765.83 × 22,422.80
  4. Step 4: Simplify right side
    50,510.30x = 1,698,882,052.92
  5. Step 5: Solve for x
    x = 1,698,882,052.92/50,510.30
  6. Step 6: Final answer
    x = 33,634.37

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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.