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Finding the Fourth Proportional to 29,782.88, 41,100.49 and 16,170.94

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Solution

The fourth proportional to 29,782.88, 41,100.49 and 16,170.94 is: 22,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.88 : 41,100.49 = 16,170.94 : x
  2. Step 2: Convert to fraction form
    29,782.88/41,100.49 = 16,170.94/x
  3. Step 3: Cross multiply
    29,782.88x = 41,100.49 × 16,170.94
  4. Step 4: Simplify right side
    29,782.88x = 664,633,476.91
  5. Step 5: Solve for x
    x = 664,633,476.91/29,782.88
  6. Step 6: Final answer
    x = 22,315.96

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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.