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Finding the Fourth Proportional to 29,999, 41,398.62 and 16,751

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Solution

The fourth proportional to 29,999, 41,398.62 and 16,751 is: 23,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,999 : 41,398.62 = 16,751 : x
  2. Step 2: Convert to fraction form
    29,999/41,398.62 = 16,751/x
  3. Step 3: Cross multiply
    29,999x = 41,398.62 × 16,751
  4. Step 4: Simplify right side
    29,999x = 693,468,283.62
  5. Step 5: Solve for x
    x = 693,468,283.62/29,999
  6. Step 6: Final answer
    x = 23,116.38

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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.