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Finding the Fourth Proportional to 97,163.50, 145,745.26 and 27,044.64

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Solution

The fourth proportional to 97,163.50, 145,745.26 and 27,044.64 is: 40,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,163.50 : 145,745.26 = 27,044.64 : x
  2. Step 2: Convert to fraction form
    97,163.50/145,745.26 = 27,044.64/x
  3. Step 3: Cross multiply
    97,163.50x = 145,745.26 × 27,044.64
  4. Step 4: Simplify right side
    97,163.50x = 3,941,628,088.41
  5. Step 5: Solve for x
    x = 3,941,628,088.41/97,163.50
  6. Step 6: Final answer
    x = 40,566.96

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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.