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Finding the Fourth Proportional to 27,171.98, 40,697.75 and 20,885.70

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Solution

The fourth proportional to 27,171.98, 40,697.75 and 20,885.70 is: 31,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,171.98 : 40,697.75 = 20,885.70 : x
  2. Step 2: Convert to fraction form
    27,171.98/40,697.75 = 20,885.70/x
  3. Step 3: Cross multiply
    27,171.98x = 40,697.75 × 20,885.70
  4. Step 4: Simplify right side
    27,171.98x = 850,000,997.18
  5. Step 5: Solve for x
    x = 850,000,997.18/27,171.98
  6. Step 6: Final answer
    x = 31,282.26

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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.