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Finding the Fourth Proportional to 75,760.75, 113,641.69 and 33,629.51

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Solution

The fourth proportional to 75,760.75, 113,641.69 and 33,629.51 is: 50,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,760.75 : 113,641.69 = 33,629.51 : x
  2. Step 2: Convert to fraction form
    75,760.75/113,641.69 = 33,629.51/x
  3. Step 3: Cross multiply
    75,760.75x = 113,641.69 × 33,629.51
  4. Step 4: Simplify right side
    75,760.75x = 3,821,714,350.27
  5. Step 5: Solve for x
    x = 3,821,714,350.27/75,760.75
  6. Step 6: Final answer
    x = 50,444.52

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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.