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Finding the Fourth Proportional to 29,804.68, 41,125.89 and 17,227

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Solution

The fourth proportional to 29,804.68, 41,125.89 and 17,227 is: 23,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,804.68 : 41,125.89 = 17,227 : x
  2. Step 2: Convert to fraction form
    29,804.68/41,125.89 = 17,227/x
  3. Step 3: Cross multiply
    29,804.68x = 41,125.89 × 17,227
  4. Step 4: Simplify right side
    29,804.68x = 708,475,707.03
  5. Step 5: Solve for x
    x = 708,475,707.03/29,804.68
  6. Step 6: Final answer
    x = 23,770.62

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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.