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Finding the Fourth Proportional to 34,057.70, 47,021.22 and 23,320.54

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Solution

The fourth proportional to 34,057.70, 47,021.22 and 23,320.54 is: 32,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,057.70 : 47,021.22 = 23,320.54 : x
  2. Step 2: Convert to fraction form
    34,057.70/47,021.22 = 23,320.54/x
  3. Step 3: Cross multiply
    34,057.70x = 47,021.22 × 23,320.54
  4. Step 4: Simplify right side
    34,057.70x = 1,096,560,241.86
  5. Step 5: Solve for x
    x = 1,096,560,241.86/34,057.70
  6. Step 6: Final answer
    x = 32,197.13

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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.