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Finding the Fourth Proportional to 34,188.49, 51,147.87 and 25,892.47

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Solution

The fourth proportional to 34,188.49, 51,147.87 and 25,892.47 is: 38,736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,188.49 : 51,147.87 = 25,892.47 : x
  2. Step 2: Convert to fraction form
    34,188.49/51,147.87 = 25,892.47/x
  3. Step 3: Cross multiply
    34,188.49x = 51,147.87 × 25,892.47
  4. Step 4: Simplify right side
    34,188.49x = 1,324,344,689.54
  5. Step 5: Solve for x
    x = 1,324,344,689.54/34,188.49
  6. Step 6: Final answer
    x = 38,736.57

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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.