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Finding the Fourth Proportional to 30,371.36, 41,912.54 and 16,942.28

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Solution

The fourth proportional to 30,371.36, 41,912.54 and 16,942.28 is: 23,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,371.36 : 41,912.54 = 16,942.28 : x
  2. Step 2: Convert to fraction form
    30,371.36/41,912.54 = 16,942.28/x
  3. Step 3: Cross multiply
    30,371.36x = 41,912.54 × 16,942.28
  4. Step 4: Simplify right side
    30,371.36x = 710,093,988.19
  5. Step 5: Solve for x
    x = 710,093,988.19/30,371.36
  6. Step 6: Final answer
    x = 23,380.38

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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.