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Finding the Fourth Proportional to 71,704.36, 107,554.11 and 27,329.50

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Solution

The fourth proportional to 71,704.36, 107,554.11 and 27,329.50 is: 40,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,704.36 : 107,554.11 = 27,329.50 : x
  2. Step 2: Convert to fraction form
    71,704.36/107,554.11 = 27,329.50/x
  3. Step 3: Cross multiply
    71,704.36x = 107,554.11 × 27,329.50
  4. Step 4: Simplify right side
    71,704.36x = 2,939,400,049.25
  5. Step 5: Solve for x
    x = 2,939,400,049.25/71,704.36
  6. Step 6: Final answer
    x = 40,993.32

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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.