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Finding the Fourth Proportional to 54,675, 75,451.50 and 29,524.50

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Solution

The fourth proportional to 54,675, 75,451.50 and 29,524.50 is: 40,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,675 : 75,451.50 = 29,524.50 : x
  2. Step 2: Convert to fraction form
    54,675/75,451.50 = 29,524.50/x
  3. Step 3: Cross multiply
    54,675x = 75,451.50 × 29,524.50
  4. Step 4: Simplify right side
    54,675x = 2,227,667,811.75
  5. Step 5: Solve for x
    x = 2,227,667,811.75/54,675
  6. Step 6: Final answer
    x = 40,743.81

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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.