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Finding the Fourth Proportional to 34,578.34, 51,854.46 and 11,198.50

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Solution

The fourth proportional to 34,578.34, 51,854.46 and 11,198.50 is: 16,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,578.34 : 51,854.46 = 11,198.50 : x
  2. Step 2: Convert to fraction form
    34,578.34/51,854.46 = 11,198.50/x
  3. Step 3: Cross multiply
    34,578.34x = 51,854.46 × 11,198.50
  4. Step 4: Simplify right side
    34,578.34x = 580,692,170.31
  5. Step 5: Solve for x
    x = 580,692,170.31/34,578.34
  6. Step 6: Final answer
    x = 16,793.52

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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.