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Finding the Fourth Proportional to 34,404, 51,608.43 and 13,627.50

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Solution

The fourth proportional to 34,404, 51,608.43 and 13,627.50 is: 20,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,404 : 51,608.43 = 13,627.50 : x
  2. Step 2: Convert to fraction form
    34,404/51,608.43 = 13,627.50/x
  3. Step 3: Cross multiply
    34,404x = 51,608.43 × 13,627.50
  4. Step 4: Simplify right side
    34,404x = 703,293,879.83
  5. Step 5: Solve for x
    x = 703,293,879.83/34,404
  6. Step 6: Final answer
    x = 20,442.21

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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.