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Finding the Fourth Proportional to 34,078.50, 51,128.17 and 17,450.30

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Solution

The fourth proportional to 34,078.50, 51,128.17 and 17,450.30 is: 26,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,078.50 : 51,128.17 = 17,450.30 : x
  2. Step 2: Convert to fraction form
    34,078.50/51,128.17 = 17,450.30/x
  3. Step 3: Cross multiply
    34,078.50x = 51,128.17 × 17,450.30
  4. Step 4: Simplify right side
    34,078.50x = 892,201,896.15
  5. Step 5: Solve for x
    x = 892,201,896.15/34,078.50
  6. Step 6: Final answer
    x = 26,180.79

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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.