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Finding the Fourth Proportional to 31,333, 43,243.38 and 18,085

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Solution

The fourth proportional to 31,333, 43,243.38 and 18,085 is: 24,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,333 : 43,243.38 = 18,085 : x
  2. Step 2: Convert to fraction form
    31,333/43,243.38 = 18,085/x
  3. Step 3: Cross multiply
    31,333x = 43,243.38 × 18,085
  4. Step 4: Simplify right side
    31,333x = 782,056,527.30
  5. Step 5: Solve for x
    x = 782,056,527.30/31,333
  6. Step 6: Final answer
    x = 24,959.52

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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.