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Finding the Fourth Proportional to 100,451.68, 150,622.84 and 30,321.88

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Solution

The fourth proportional to 100,451.68, 150,622.84 and 30,321.88 is: 45,466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,451.68 : 150,622.84 = 30,321.88 : x
  2. Step 2: Convert to fraction form
    100,451.68/150,622.84 = 30,321.88/x
  3. Step 3: Cross multiply
    100,451.68x = 150,622.84 × 30,321.88
  4. Step 4: Simplify right side
    100,451.68x = 4,567,167,679.74
  5. Step 5: Solve for x
    x = 4,567,167,679.74/100,451.68
  6. Step 6: Final answer
    x = 45,466.31

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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.