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Finding the Fourth Proportional to 29,866.34, 41,213.26 and 17,119.38

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Solution

The fourth proportional to 29,866.34, 41,213.26 and 17,119.38 is: 23,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,866.34 : 41,213.26 = 17,119.38 : x
  2. Step 2: Convert to fraction form
    29,866.34/41,213.26 = 17,119.38/x
  3. Step 3: Cross multiply
    29,866.34x = 41,213.26 × 17,119.38
  4. Step 4: Simplify right side
    29,866.34x = 705,545,458.98
  5. Step 5: Solve for x
    x = 705,545,458.98/29,866.34
  6. Step 6: Final answer
    x = 23,623.43

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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.