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Finding the Fourth Proportional to 100,651.20, 150,977.16 and 30,531.12

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Solution

The fourth proportional to 100,651.20, 150,977.16 and 30,531.12 is: 45,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,651.20 : 150,977.16 = 30,531.12 : x
  2. Step 2: Convert to fraction form
    100,651.20/150,977.16 = 30,531.12/x
  3. Step 3: Cross multiply
    100,651.20x = 150,977.16 × 30,531.12
  4. Step 4: Simplify right side
    100,651.20x = 4,609,501,789.22
  5. Step 5: Solve for x
    x = 4,609,501,789.22/100,651.20
  6. Step 6: Final answer
    x = 45,796.79

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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.