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Finding the Fourth Proportional to 85,414.44, 117,871.20 and 47,173.98

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Solution

The fourth proportional to 85,414.44, 117,871.20 and 47,173.98 is: 65,099.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414.44 : 117,871.20 = 47,173.98 : x
  2. Step 2: Convert to fraction form
    85,414.44/117,871.20 = 47,173.98/x
  3. Step 3: Cross multiply
    85,414.44x = 117,871.20 × 47,173.98
  4. Step 4: Simplify right side
    85,414.44x = 5,560,453,631.38
  5. Step 5: Solve for x
    x = 5,560,453,631.38/85,414.44
  6. Step 6: Final answer
    x = 65,099.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.