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Finding the Fourth Proportional to 66,999.80, 100,413.30 and 31,863.80

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Solution

The fourth proportional to 66,999.80, 100,413.30 and 31,863.80 is: 47,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,999.80 : 100,413.30 = 31,863.80 : x
  2. Step 2: Convert to fraction form
    66,999.80/100,413.30 = 31,863.80/x
  3. Step 3: Cross multiply
    66,999.80x = 100,413.30 × 31,863.80
  4. Step 4: Simplify right side
    66,999.80x = 3,199,549,308.54
  5. Step 5: Solve for x
    x = 3,199,549,308.54/66,999.80
  6. Step 6: Final answer
    x = 47,754.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.