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Finding the Fourth Proportional to 50,413.50, 69,570.63 and 28,062.78

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Solution

The fourth proportional to 50,413.50, 69,570.63 and 28,062.78 is: 38,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,413.50 : 69,570.63 = 28,062.78 : x
  2. Step 2: Convert to fraction form
    50,413.50/69,570.63 = 28,062.78/x
  3. Step 3: Cross multiply
    50,413.50x = 69,570.63 × 28,062.78
  4. Step 4: Simplify right side
    50,413.50x = 1,952,345,284.15
  5. Step 5: Solve for x
    x = 1,952,345,284.15/50,413.50
  6. Step 6: Final answer
    x = 38,726.64

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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.