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Finding the Fourth Proportional to 29,779, 41,096.22 and 16,350.80

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Solution

The fourth proportional to 29,779, 41,096.22 and 16,350.80 is: 22,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,779 : 41,096.22 = 16,350.80 : x
  2. Step 2: Convert to fraction form
    29,779/41,096.22 = 16,350.80/x
  3. Step 3: Cross multiply
    29,779x = 41,096.22 × 16,350.80
  4. Step 4: Simplify right side
    29,779x = 671,956,073.98
  5. Step 5: Solve for x
    x = 671,956,073.98/29,779
  6. Step 6: Final answer
    x = 22,564.76

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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.