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Finding the Fourth Proportional to 75,376.80, 113,067 and 22,786.08

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Solution

The fourth proportional to 75,376.80, 113,067 and 22,786.08 is: 34,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,376.80 : 113,067 = 22,786.08 : x
  2. Step 2: Convert to fraction form
    75,376.80/113,067 = 22,786.08/x
  3. Step 3: Cross multiply
    75,376.80x = 113,067 × 22,786.08
  4. Step 4: Simplify right side
    75,376.80x = 2,576,353,707.36
  5. Step 5: Solve for x
    x = 2,576,353,707.36/75,376.80
  6. Step 6: Final answer
    x = 34,179.66

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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.