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Finding the Fourth Proportional to 34,364.90, 51,517.64 and 15,375

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Solution

The fourth proportional to 34,364.90, 51,517.64 and 15,375 is: 23,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,364.90 : 51,517.64 = 15,375 : x
  2. Step 2: Convert to fraction form
    34,364.90/51,517.64 = 15,375/x
  3. Step 3: Cross multiply
    34,364.90x = 51,517.64 × 15,375
  4. Step 4: Simplify right side
    34,364.90x = 792,083,715
  5. Step 5: Solve for x
    x = 792,083,715/34,364.90
  6. Step 6: Final answer
    x = 23,049.21

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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.