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Finding the Fourth Proportional to 34,297.30, 51,453.24 and 10,606.42

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Solution

The fourth proportional to 34,297.30, 51,453.24 and 10,606.42 is: 15,911.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,297.30 : 51,453.24 = 10,606.42 : x
  2. Step 2: Convert to fraction form
    34,297.30/51,453.24 = 10,606.42/x
  3. Step 3: Cross multiply
    34,297.30x = 51,453.24 × 10,606.42
  4. Step 4: Simplify right side
    34,297.30x = 545,734,673.80
  5. Step 5: Solve for x
    x = 545,734,673.80/34,297.30
  6. Step 6: Final answer
    x = 15,911.88

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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.