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Finding the Fourth Proportional to 54,695, 75,479.14 and 29,544.50

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Solution

The fourth proportional to 54,695, 75,479.14 and 29,544.50 is: 40,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,695 : 75,479.14 = 29,544.50 : x
  2. Step 2: Convert to fraction form
    54,695/75,479.14 = 29,544.50/x
  3. Step 3: Cross multiply
    54,695x = 75,479.14 × 29,544.50
  4. Step 4: Simplify right side
    54,695x = 2,229,993,451.73
  5. Step 5: Solve for x
    x = 2,229,993,451.73/54,695
  6. Step 6: Final answer
    x = 40,771.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.