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Finding the Fourth Proportional to 29,489, 40,694 and 16,059.96

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Solution

The fourth proportional to 29,489, 40,694 and 16,059.96 is: 22,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,489 : 40,694 = 16,059.96 : x
  2. Step 2: Convert to fraction form
    29,489/40,694 = 16,059.96/x
  3. Step 3: Cross multiply
    29,489x = 40,694 × 16,059.96
  4. Step 4: Simplify right side
    29,489x = 653,544,012.24
  5. Step 5: Solve for x
    x = 653,544,012.24/29,489
  6. Step 6: Final answer
    x = 22,162.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.