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Finding the Fourth Proportional to 100,377.58, 150,574.56 and 50,431.90

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Solution

The fourth proportional to 100,377.58, 150,574.56 and 50,431.90 is: 75,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,377.58 : 150,574.56 = 50,431.90 : x
  2. Step 2: Convert to fraction form
    100,377.58/150,574.56 = 50,431.90/x
  3. Step 3: Cross multiply
    100,377.58x = 150,574.56 × 50,431.90
  4. Step 4: Simplify right side
    100,377.58x = 7,593,761,152.46
  5. Step 5: Solve for x
    x = 7,593,761,152.46/100,377.58
  6. Step 6: Final answer
    x = 75,651.96

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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.