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Finding the Fourth Proportional to 29,734.65, 41,035.72 and 19,645.39

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Solution

The fourth proportional to 29,734.65, 41,035.72 and 19,645.39 is: 27,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734.65 : 41,035.72 = 19,645.39 : x
  2. Step 2: Convert to fraction form
    29,734.65/41,035.72 = 19,645.39/x
  3. Step 3: Cross multiply
    29,734.65x = 41,035.72 × 19,645.39
  4. Step 4: Simplify right side
    29,734.65x = 806,162,723.33
  5. Step 5: Solve for x
    x = 806,162,723.33/29,734.65
  6. Step 6: Final answer
    x = 27,111.90

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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.