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Finding the Fourth Proportional to 75,786.65, 113,679.97 and 33,656.82

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Solution

The fourth proportional to 75,786.65, 113,679.97 and 33,656.82 is: 50,485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,786.65 : 113,679.97 = 33,656.82 : x
  2. Step 2: Convert to fraction form
    75,786.65/113,679.97 = 33,656.82/x
  3. Step 3: Cross multiply
    75,786.65x = 113,679.97 × 33,656.82
  4. Step 4: Simplify right side
    75,786.65x = 3,826,106,203.75
  5. Step 5: Solve for x
    x = 3,826,106,203.75/75,786.65
  6. Step 6: Final answer
    x = 50,485.23

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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.