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Finding the Fourth Proportional to 29,544.38, 40,771.73 and 16,115.63

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Solution

The fourth proportional to 29,544.38, 40,771.73 and 16,115.63 is: 22,239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,544.38 : 40,771.73 = 16,115.63 : x
  2. Step 2: Convert to fraction form
    29,544.38/40,771.73 = 16,115.63/x
  3. Step 3: Cross multiply
    29,544.38x = 40,771.73 × 16,115.63
  4. Step 4: Simplify right side
    29,544.38x = 657,062,115.14
  5. Step 5: Solve for x
    x = 657,062,115.14/29,544.38
  6. Step 6: Final answer
    x = 22,239.83

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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.