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Finding the Fourth Proportional to 29,287.89, 40,414.73 and 17,349.21

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Solution

The fourth proportional to 29,287.89, 40,414.73 and 17,349.21 is: 23,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,287.89 : 40,414.73 = 17,349.21 : x
  2. Step 2: Convert to fraction form
    29,287.89/40,414.73 = 17,349.21/x
  3. Step 3: Cross multiply
    29,287.89x = 40,414.73 × 17,349.21
  4. Step 4: Simplify right side
    29,287.89x = 701,163,551.12
  5. Step 5: Solve for x
    x = 701,163,551.12/29,287.89
  6. Step 6: Final answer
    x = 23,940.39

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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.