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Finding the Fourth Proportional to 29,840.91, 41,179.63 and 16,412.16

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Solution

The fourth proportional to 29,840.91, 41,179.63 and 16,412.16 is: 22,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840.91 : 41,179.63 = 16,412.16 : x
  2. Step 2: Convert to fraction form
    29,840.91/41,179.63 = 16,412.16/x
  3. Step 3: Cross multiply
    29,840.91x = 41,179.63 × 16,412.16
  4. Step 4: Simplify right side
    29,840.91x = 675,846,676.30
  5. Step 5: Solve for x
    x = 675,846,676.30/29,840.91
  6. Step 6: Final answer
    x = 22,648.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.