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Finding the Fourth Proportional to 50,500.32, 75,764.49 and 22,039.76

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Solution

The fourth proportional to 50,500.32, 75,764.49 and 22,039.76 is: 33,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,500.32 : 75,764.49 = 22,039.76 : x
  2. Step 2: Convert to fraction form
    50,500.32/75,764.49 = 22,039.76/x
  3. Step 3: Cross multiply
    50,500.32x = 75,764.49 × 22,039.76
  4. Step 4: Simplify right side
    50,500.32x = 1,669,830,797.30
  5. Step 5: Solve for x
    x = 1,669,830,797.30/50,500.32
  6. Step 6: Final answer
    x = 33,065.75

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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.