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Finding the Fourth Proportional to 34,574.31, 51,863.22 and 16,821.27

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Solution

The fourth proportional to 34,574.31, 51,863.22 and 16,821.27 is: 25,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,574.31 : 51,863.22 = 16,821.27 : x
  2. Step 2: Convert to fraction form
    34,574.31/51,863.22 = 16,821.27/x
  3. Step 3: Cross multiply
    34,574.31x = 51,863.22 × 16,821.27
  4. Step 4: Simplify right side
    34,574.31x = 872,405,226.69
  5. Step 5: Solve for x
    x = 872,405,226.69/34,574.31
  6. Step 6: Final answer
    x = 25,232.76

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Why These Related Problems?

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