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Finding the Fourth Proportional to 66,413.64, 91,650.24 and 36,198.96

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Solution

The fourth proportional to 66,413.64, 91,650.24 and 36,198.96 is: 49,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,413.64 : 91,650.24 = 36,198.96 : x
  2. Step 2: Convert to fraction form
    66,413.64/91,650.24 = 36,198.96/x
  3. Step 3: Cross multiply
    66,413.64x = 91,650.24 × 36,198.96
  4. Step 4: Simplify right side
    66,413.64x = 3,317,643,371.75
  5. Step 5: Solve for x
    x = 3,317,643,371.75/66,413.64
  6. Step 6: Final answer
    x = 49,954.25

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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.