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Finding the Fourth Proportional to 33,633, 46,413.54 and 18,729

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Solution

The fourth proportional to 33,633, 46,413.54 and 18,729 is: 25,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633 : 46,413.54 = 18,729 : x
  2. Step 2: Convert to fraction form
    33,633/46,413.54 = 18,729/x
  3. Step 3: Cross multiply
    33,633x = 46,413.54 × 18,729
  4. Step 4: Simplify right side
    33,633x = 869,279,190.66
  5. Step 5: Solve for x
    x = 869,279,190.66/33,633
  6. Step 6: Final answer
    x = 25,846.02

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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.