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Finding the Fourth Proportional to 40,165.98, 55,431.09 and 23,163.90

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Solution

The fourth proportional to 40,165.98, 55,431.09 and 23,163.90 is: 31,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,165.98 : 55,431.09 = 23,163.90 : x
  2. Step 2: Convert to fraction form
    40,165.98/55,431.09 = 23,163.90/x
  3. Step 3: Cross multiply
    40,165.98x = 55,431.09 × 23,163.90
  4. Step 4: Simplify right side
    40,165.98x = 1,284,000,225.65
  5. Step 5: Solve for x
    x = 1,284,000,225.65/40,165.98
  6. Step 6: Final answer
    x = 31,967.36

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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.