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Finding the Fourth Proportional to 34,069, 51,103.96 and 10,695.44

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Solution

The fourth proportional to 34,069, 51,103.96 and 10,695.44 is: 16,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,069 : 51,103.96 = 10,695.44 : x
  2. Step 2: Convert to fraction form
    34,069/51,103.96 = 10,695.44/x
  3. Step 3: Cross multiply
    34,069x = 51,103.96 × 10,695.44
  4. Step 4: Simplify right side
    34,069x = 546,579,337.94
  5. Step 5: Solve for x
    x = 546,579,337.94/34,069
  6. Step 6: Final answer
    x = 16,043.30

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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.