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Finding the Fourth Proportional to 29,344.38, 40,497.41 and 16,768.86

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Solution

The fourth proportional to 29,344.38, 40,497.41 and 16,768.86 is: 23,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,344.38 : 40,497.41 = 16,768.86 : x
  2. Step 2: Convert to fraction form
    29,344.38/40,497.41 = 16,768.86/x
  3. Step 3: Cross multiply
    29,344.38x = 40,497.41 × 16,768.86
  4. Step 4: Simplify right side
    29,344.38x = 679,095,398.65
  5. Step 5: Solve for x
    x = 679,095,398.65/29,344.38
  6. Step 6: Final answer
    x = 23,142.26

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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.