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Finding the Fourth Proportional to 29,841.91, 41,181.01 and 16,413.16

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Solution

The fourth proportional to 29,841.91, 41,181.01 and 16,413.16 is: 22,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841.91 : 41,181.01 = 16,413.16 : x
  2. Step 2: Convert to fraction form
    29,841.91/41,181.01 = 16,413.16/x
  3. Step 3: Cross multiply
    29,841.91x = 41,181.01 × 16,413.16
  4. Step 4: Simplify right side
    29,841.91x = 675,910,506.09
  5. Step 5: Solve for x
    x = 675,910,506.09/29,841.91
  6. Step 6: Final answer
    x = 22,649.71

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1.5x scale

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.