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Finding the Fourth Proportional to 50,413.50, 75,620.34 and 13,477.50

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Solution

The fourth proportional to 50,413.50, 75,620.34 and 13,477.50 is: 20,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,413.50 : 75,620.34 = 13,477.50 : x
  2. Step 2: Convert to fraction form
    50,413.50/75,620.34 = 13,477.50/x
  3. Step 3: Cross multiply
    50,413.50x = 75,620.34 × 13,477.50
  4. Step 4: Simplify right side
    50,413.50x = 1,019,173,132.35
  5. Step 5: Solve for x
    x = 1,019,173,132.35/50,413.50
  6. Step 6: Final answer
    x = 20,216.27

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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.