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Finding the Fourth Proportional to 27,175.37, 40,758.66 and 7,449.30

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Solution

The fourth proportional to 27,175.37, 40,758.66 and 7,449.30 is: 11,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175.37 : 40,758.66 = 7,449.30 : x
  2. Step 2: Convert to fraction form
    27,175.37/40,758.66 = 7,449.30/x
  3. Step 3: Cross multiply
    27,175.37x = 40,758.66 × 7,449.30
  4. Step 4: Simplify right side
    27,175.37x = 303,623,485.94
  5. Step 5: Solve for x
    x = 303,623,485.94/27,175.37
  6. Step 6: Final answer
    x = 11,172.75

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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.