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Finding the Fourth Proportional to 34,202.71, 51,309.21 and 12,012.19

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Solution

The fourth proportional to 34,202.71, 51,309.21 and 12,012.19 is: 18,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,202.71 : 51,309.21 = 12,012.19 : x
  2. Step 2: Convert to fraction form
    34,202.71/51,309.21 = 12,012.19/x
  3. Step 3: Cross multiply
    34,202.71x = 51,309.21 × 12,012.19
  4. Step 4: Simplify right side
    34,202.71x = 616,335,979.27
  5. Step 5: Solve for x
    x = 616,335,979.27/34,202.71
  6. Step 6: Final answer
    x = 18,020.09

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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.