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Finding the Fourth Proportional to 75,194.88, 112,807.20 and 33,642.24

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Solution

The fourth proportional to 75,194.88, 112,807.20 and 33,642.24 is: 50,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,194.88 : 112,807.20 = 33,642.24 : x
  2. Step 2: Convert to fraction form
    75,194.88/112,807.20 = 33,642.24/x
  3. Step 3: Cross multiply
    75,194.88x = 112,807.20 × 33,642.24
  4. Step 4: Simplify right side
    75,194.88x = 3,795,086,896.13
  5. Step 5: Solve for x
    x = 3,795,086,896.13/75,194.88
  6. Step 6: Final answer
    x = 50,470.02

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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.