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Finding the Fourth Proportional to 50,413.86, 69,570.57 and 27,752.37

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Solution

The fourth proportional to 50,413.86, 69,570.57 and 27,752.37 is: 38,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,413.86 : 69,570.57 = 27,752.37 : x
  2. Step 2: Convert to fraction form
    50,413.86/69,570.57 = 27,752.37/x
  3. Step 3: Cross multiply
    50,413.86x = 69,570.57 × 27,752.37
  4. Step 4: Simplify right side
    50,413.86x = 1,930,748,199.75
  5. Step 5: Solve for x
    x = 1,930,748,199.75/50,413.86
  6. Step 6: Final answer
    x = 38,297.96

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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.