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Finding the Fourth Proportional to 30,734.44, 42,413.70 and 17,486.44

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Solution

The fourth proportional to 30,734.44, 42,413.70 and 17,486.44 is: 24,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,734.44 : 42,413.70 = 17,486.44 : x
  2. Step 2: Convert to fraction form
    30,734.44/42,413.70 = 17,486.44/x
  3. Step 3: Cross multiply
    30,734.44x = 42,413.70 × 17,486.44
  4. Step 4: Simplify right side
    30,734.44x = 741,664,620.23
  5. Step 5: Solve for x
    x = 741,664,620.23/30,734.44
  6. Step 6: Final answer
    x = 24,131.39

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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.