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Finding the Fourth Proportional to 29,163.21, 40,235.16 and 16,413.81

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Solution

The fourth proportional to 29,163.21, 40,235.16 and 16,413.81 is: 22,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,163.21 : 40,235.16 = 16,413.81 : x
  2. Step 2: Convert to fraction form
    29,163.21/40,235.16 = 16,413.81/x
  3. Step 3: Cross multiply
    29,163.21x = 40,235.16 × 16,413.81
  4. Step 4: Simplify right side
    29,163.21x = 660,412,271.56
  5. Step 5: Solve for x
    x = 660,412,271.56/29,163.21
  6. Step 6: Final answer
    x = 22,645.39

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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.