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Finding the Fourth Proportional to 29,057.39, 40,103.79 and 17,729.36

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Solution

The fourth proportional to 29,057.39, 40,103.79 and 17,729.36 is: 24,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,057.39 : 40,103.79 = 17,729.36 : x
  2. Step 2: Convert to fraction form
    29,057.39/40,103.79 = 17,729.36/x
  3. Step 3: Cross multiply
    29,057.39x = 40,103.79 × 17,729.36
  4. Step 4: Simplify right side
    29,057.39x = 711,014,530.27
  5. Step 5: Solve for x
    x = 711,014,530.27/29,057.39
  6. Step 6: Final answer
    x = 24,469.32

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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.