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Finding the Fourth Proportional to 75,616.94, 113,359.78 and 38,145.73

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Solution

The fourth proportional to 75,616.94, 113,359.78 and 38,145.73 is: 57,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,616.94 : 113,359.78 = 38,145.73 : x
  2. Step 2: Convert to fraction form
    75,616.94/113,359.78 = 38,145.73/x
  3. Step 3: Cross multiply
    75,616.94x = 113,359.78 × 38,145.73
  4. Step 4: Simplify right side
    75,616.94x = 4,324,191,560.74
  5. Step 5: Solve for x
    x = 4,324,191,560.74/75,616.94
  6. Step 6: Final answer
    x = 57,185.49

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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.