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Finding the Fourth Proportional to 29,841.02, 41,179.80 and 16,413.64

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Solution

The fourth proportional to 29,841.02, 41,179.80 and 16,413.64 is: 22,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841.02 : 41,179.80 = 16,413.64 : x
  2. Step 2: Convert to fraction form
    29,841.02/41,179.80 = 16,413.64/x
  3. Step 3: Cross multiply
    29,841.02x = 41,179.80 × 16,413.64
  4. Step 4: Simplify right side
    29,841.02x = 675,910,412.47
  5. Step 5: Solve for x
    x = 675,910,412.47/29,841.02
  6. Step 6: Final answer
    x = 22,650.38

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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.