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Finding the Fourth Proportional to 29,989, 41,388.47 and 17,413.75

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Solution

The fourth proportional to 29,989, 41,388.47 and 17,413.75 is: 24,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,989 : 41,388.47 = 17,413.75 : x
  2. Step 2: Convert to fraction form
    29,989/41,388.47 = 17,413.75/x
  3. Step 3: Cross multiply
    29,989x = 41,388.47 × 17,413.75
  4. Step 4: Simplify right side
    29,989x = 720,728,382.39
  5. Step 5: Solve for x
    x = 720,728,382.39/29,989
  6. Step 6: Final answer
    x = 24,033.09

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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.