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Finding the Fourth Proportional to 34,615, 51,929 and 16,147

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Solution

The fourth proportional to 34,615, 51,929 and 16,147 is: 24,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,615 : 51,929 = 16,147 : x
  2. Step 2: Convert to fraction form
    34,615/51,929 = 16,147/x
  3. Step 3: Cross multiply
    34,615x = 51,929 × 16,147
  4. Step 4: Simplify right side
    34,615x = 838,497,563
  5. Step 5: Solve for x
    x = 838,497,563/34,615
  6. Step 6: Final answer
    x = 24,223.53

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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.