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Finding the Fourth Proportional to 34,650.50, 51,978.99 and 11,270.66

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Solution

The fourth proportional to 34,650.50, 51,978.99 and 11,270.66 is: 16,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,650.50 : 51,978.99 = 11,270.66 : x
  2. Step 2: Convert to fraction form
    34,650.50/51,978.99 = 11,270.66/x
  3. Step 3: Cross multiply
    34,650.50x = 51,978.99 × 11,270.66
  4. Step 4: Simplify right side
    34,650.50x = 585,837,523.43
  5. Step 5: Solve for x
    x = 585,837,523.43/34,650.50
  6. Step 6: Final answer
    x = 16,907.04

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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.