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Finding the Fourth Proportional to 66,413.84, 91,650.50 and 36,199.16

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Solution

The fourth proportional to 66,413.84, 91,650.50 and 36,199.16 is: 49,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,413.84 : 91,650.50 = 36,199.16 : x
  2. Step 2: Convert to fraction form
    66,413.84/91,650.50 = 36,199.16/x
  3. Step 3: Cross multiply
    66,413.84x = 91,650.50 × 36,199.16
  4. Step 4: Simplify right side
    66,413.84x = 3,317,670,474.33
  5. Step 5: Solve for x
    x = 3,317,670,474.33/66,413.84
  6. Step 6: Final answer
    x = 49,954.51

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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.