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Finding the Fourth Proportional to 29,843.16, 41,182.74 and 16,414.42

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Solution

The fourth proportional to 29,843.16, 41,182.74 and 16,414.42 is: 22,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,843.16 : 41,182.74 = 16,414.42 : x
  2. Step 2: Convert to fraction form
    29,843.16/41,182.74 = 16,414.42/x
  3. Step 3: Cross multiply
    29,843.16x = 41,182.74 × 16,414.42
  4. Step 4: Simplify right side
    29,843.16x = 675,990,791.11
  5. Step 5: Solve for x
    x = 675,990,791.11/29,843.16
  6. Step 6: Final answer
    x = 22,651.45

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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.