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Finding the Fourth Proportional to 34,073, 51,109.96 and 10,699.44

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Solution

The fourth proportional to 34,073, 51,109.96 and 10,699.44 is: 16,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,073 : 51,109.96 = 10,699.44 : x
  2. Step 2: Convert to fraction form
    34,073/51,109.96 = 10,699.44/x
  3. Step 3: Cross multiply
    34,073x = 51,109.96 × 10,699.44
  4. Step 4: Simplify right side
    34,073x = 546,847,950.42
  5. Step 5: Solve for x
    x = 546,847,950.42/34,073
  6. Step 6: Final answer
    x = 16,049.30

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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.