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Finding the Fourth Proportional to 29,978.75, 41,371.34 and 16,549.97

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Solution

The fourth proportional to 29,978.75, 41,371.34 and 16,549.97 is: 22,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.75 : 41,371.34 = 16,549.97 : x
  2. Step 2: Convert to fraction form
    29,978.75/41,371.34 = 16,549.97/x
  3. Step 3: Cross multiply
    29,978.75x = 41,371.34 × 16,549.97
  4. Step 4: Simplify right side
    29,978.75x = 684,694,353.11
  5. Step 5: Solve for x
    x = 684,694,353.11/29,978.75
  6. Step 6: Final answer
    x = 22,839.32

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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.