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Finding the Fourth Proportional to 29,739.66, 41,044.37 and 17,164.41

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Solution

The fourth proportional to 29,739.66, 41,044.37 and 17,164.41 is: 23,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,739.66 : 41,044.37 = 17,164.41 : x
  2. Step 2: Convert to fraction form
    29,739.66/41,044.37 = 17,164.41/x
  3. Step 3: Cross multiply
    29,739.66x = 41,044.37 × 17,164.41
  4. Step 4: Simplify right side
    29,739.66x = 704,502,251.68
  5. Step 5: Solve for x
    x = 704,502,251.68/29,739.66
  6. Step 6: Final answer
    x = 23,688.98

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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.