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Finding the Fourth Proportional to 31,118.25, 42,936.74 and 18,195.04

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Solution

The fourth proportional to 31,118.25, 42,936.74 and 18,195.04 is: 25,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,118.25 : 42,936.74 = 18,195.04 : x
  2. Step 2: Convert to fraction form
    31,118.25/42,936.74 = 18,195.04/x
  3. Step 3: Cross multiply
    31,118.25x = 42,936.74 × 18,195.04
  4. Step 4: Simplify right side
    31,118.25x = 781,235,441.60
  5. Step 5: Solve for x
    x = 781,235,441.60/31,118.25
  6. Step 6: Final answer
    x = 25,105.38

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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.