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Finding the Fourth Proportional to 100,245.66, 150,382.31 and 33,690.95

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Solution

The fourth proportional to 100,245.66, 150,382.31 and 33,690.95 is: 50,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,245.66 : 150,382.31 = 33,690.95 : x
  2. Step 2: Convert to fraction form
    100,245.66/150,382.31 = 33,690.95/x
  3. Step 3: Cross multiply
    100,245.66x = 150,382.31 × 33,690.95
  4. Step 4: Simplify right side
    100,245.66x = 5,066,522,135.18
  5. Step 5: Solve for x
    x = 5,066,522,135.18/100,245.66
  6. Step 6: Final answer
    x = 50,541.06

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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.