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Finding the Fourth Proportional to 66,413.80, 91,649.38 and 36,605.16

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Solution

The fourth proportional to 66,413.80, 91,649.38 and 36,605.16 is: 50,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,413.80 : 91,649.38 = 36,605.16 : x
  2. Step 2: Convert to fraction form
    66,413.80/91,649.38 = 36,605.16/x
  3. Step 3: Cross multiply
    66,413.80x = 91,649.38 × 36,605.16
  4. Step 4: Simplify right side
    66,413.80x = 3,354,840,218.80
  5. Step 5: Solve for x
    x = 3,354,840,218.80/66,413.80
  6. Step 6: Final answer
    x = 50,514.20

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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.