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Finding the Fourth Proportional to 29,761.72, 41,072.46 and 17,827

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Solution

The fourth proportional to 29,761.72, 41,072.46 and 17,827 is: 24,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,761.72 : 41,072.46 = 17,827 : x
  2. Step 2: Convert to fraction form
    29,761.72/41,072.46 = 17,827/x
  3. Step 3: Cross multiply
    29,761.72x = 41,072.46 × 17,827
  4. Step 4: Simplify right side
    29,761.72x = 732,198,744.42
  5. Step 5: Solve for x
    x = 732,198,744.42/29,761.72
  6. Step 6: Final answer
    x = 24,602.03

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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.