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Finding the Fourth Proportional to 61,894.14, 85,413.69 and 33,599.82

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Solution

The fourth proportional to 61,894.14, 85,413.69 and 33,599.82 is: 46,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,894.14 : 85,413.69 = 33,599.82 : x
  2. Step 2: Convert to fraction form
    61,894.14/85,413.69 = 33,599.82/x
  3. Step 3: Cross multiply
    61,894.14x = 85,413.69 × 33,599.82
  4. Step 4: Simplify right side
    61,894.14x = 2,869,884,609.54
  5. Step 5: Solve for x
    x = 2,869,884,609.54/61,894.14
  6. Step 6: Final answer
    x = 46,367.63

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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.