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Finding the Fourth Proportional to 31,727.26, 43,783.02 and 18,299.08

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Solution

The fourth proportional to 31,727.26, 43,783.02 and 18,299.08 is: 25,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,727.26 : 43,783.02 = 18,299.08 : x
  2. Step 2: Convert to fraction form
    31,727.26/43,783.02 = 18,299.08/x
  3. Step 3: Cross multiply
    31,727.26x = 43,783.02 × 18,299.08
  4. Step 4: Simplify right side
    31,727.26x = 801,188,985.62
  5. Step 5: Solve for x
    x = 801,188,985.62/31,727.26
  6. Step 6: Final answer
    x = 25,252.39

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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.