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Finding the Fourth Proportional to 33,413.82, 46,102.95 and 18,509.82

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Solution

The fourth proportional to 33,413.82, 46,102.95 and 18,509.82 is: 25,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,413.82 : 46,102.95 = 18,509.82 : x
  2. Step 2: Convert to fraction form
    33,413.82/46,102.95 = 18,509.82/x
  3. Step 3: Cross multiply
    33,413.82x = 46,102.95 × 18,509.82
  4. Step 4: Simplify right side
    33,413.82x = 853,357,305.97
  5. Step 5: Solve for x
    x = 853,357,305.97/33,413.82
  6. Step 6: Final answer
    x = 25,539.05

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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.