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Finding the Fourth Proportional to 34,234.96, 51,358.42 and 10,542.26

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Solution

The fourth proportional to 34,234.96, 51,358.42 and 10,542.26 is: 15,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,234.96 : 51,358.42 = 10,542.26 : x
  2. Step 2: Convert to fraction form
    34,234.96/51,358.42 = 10,542.26/x
  3. Step 3: Cross multiply
    34,234.96x = 51,358.42 × 10,542.26
  4. Step 4: Simplify right side
    34,234.96x = 541,433,816.83
  5. Step 5: Solve for x
    x = 541,433,816.83/34,234.96
  6. Step 6: Final answer
    x = 15,815.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.