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Finding the Fourth Proportional to 49,471.86, 74,208.60 and 14,413.44

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Solution

The fourth proportional to 49,471.86, 74,208.60 and 14,413.44 is: 21,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,471.86 : 74,208.60 = 14,413.44 : x
  2. Step 2: Convert to fraction form
    49,471.86/74,208.60 = 14,413.44/x
  3. Step 3: Cross multiply
    49,471.86x = 74,208.60 × 14,413.44
  4. Step 4: Simplify right side
    49,471.86x = 1,069,601,203.58
  5. Step 5: Solve for x
    x = 1,069,601,203.58/49,471.86
  6. Step 6: Final answer
    x = 21,620.40

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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.