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Finding the Fourth Proportional to 31,150.44, 42,993.18 and 18,576

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Solution

The fourth proportional to 31,150.44, 42,993.18 and 18,576 is: 25,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,150.44 : 42,993.18 = 18,576 : x
  2. Step 2: Convert to fraction form
    31,150.44/42,993.18 = 18,576/x
  3. Step 3: Cross multiply
    31,150.44x = 42,993.18 × 18,576
  4. Step 4: Simplify right side
    31,150.44x = 798,641,311.68
  5. Step 5: Solve for x
    x = 798,641,311.68/31,150.44
  6. Step 6: Final answer
    x = 25,638.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.