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Finding the Fourth Proportional to 29,534.70, 40,757.91 and 16,105.98

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Solution

The fourth proportional to 29,534.70, 40,757.91 and 16,105.98 is: 22,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534.70 : 40,757.91 = 16,105.98 : x
  2. Step 2: Convert to fraction form
    29,534.70/40,757.91 = 16,105.98/x
  3. Step 3: Cross multiply
    29,534.70x = 40,757.91 × 16,105.98
  4. Step 4: Simplify right side
    29,534.70x = 656,446,083.30
  5. Step 5: Solve for x
    x = 656,446,083.30/29,534.70
  6. Step 6: Final answer
    x = 22,226.27

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