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Finding the Fourth Proportional to 30,940.32, 42,694.38 and 17,509.44

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Solution

The fourth proportional to 30,940.32, 42,694.38 and 17,509.44 is: 24,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.32 : 42,694.38 = 17,509.44 : x
  2. Step 2: Convert to fraction form
    30,940.32/42,694.38 = 17,509.44/x
  3. Step 3: Cross multiply
    30,940.32x = 42,694.38 × 17,509.44
  4. Step 4: Simplify right side
    30,940.32x = 747,554,684.95
  5. Step 5: Solve for x
    x = 747,554,684.95/30,940.32
  6. Step 6: Final answer
    x = 24,161.18

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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.