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Finding the Fourth Proportional to 34,096, 51,145.82 and 10,724.26

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Solution

The fourth proportional to 34,096, 51,145.82 and 10,724.26 is: 16,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,096 : 51,145.82 = 10,724.26 : x
  2. Step 2: Convert to fraction form
    34,096/51,145.82 = 10,724.26/x
  3. Step 3: Cross multiply
    34,096x = 51,145.82 × 10,724.26
  4. Step 4: Simplify right side
    34,096x = 548,501,071.59
  5. Step 5: Solve for x
    x = 548,501,071.59/34,096
  6. Step 6: Final answer
    x = 16,086.96

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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.