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Finding the Fourth Proportional to 75,649.87, 113,422.19 and 33,507.04

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Solution

The fourth proportional to 75,649.87, 113,422.19 and 33,507.04 is: 50,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,649.87 : 113,422.19 = 33,507.04 : x
  2. Step 2: Convert to fraction form
    75,649.87/113,422.19 = 33,507.04/x
  3. Step 3: Cross multiply
    75,649.87x = 113,422.19 × 33,507.04
  4. Step 4: Simplify right side
    75,649.87x = 3,800,441,857.22
  5. Step 5: Solve for x
    x = 3,800,441,857.22/75,649.87
  6. Step 6: Final answer
    x = 50,237.26

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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.