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Finding the Fourth Proportional to 65,227.67, 97,850.74 and 20,844.05

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Solution

The fourth proportional to 65,227.67, 97,850.74 and 20,844.05 is: 31,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,227.67 : 97,850.74 = 20,844.05 : x
  2. Step 2: Convert to fraction form
    65,227.67/97,850.74 = 20,844.05/x
  3. Step 3: Cross multiply
    65,227.67x = 97,850.74 × 20,844.05
  4. Step 4: Simplify right side
    65,227.67x = 2,039,605,175.73
  5. Step 5: Solve for x
    x = 2,039,605,175.73/65,227.67
  6. Step 6: Final answer
    x = 31,269.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.