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Finding the Fourth Proportional to 29,843.98, 41,148.21 and 19,769.74

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Solution

The fourth proportional to 29,843.98, 41,148.21 and 19,769.74 is: 27,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,843.98 : 41,148.21 = 19,769.74 : x
  2. Step 2: Convert to fraction form
    29,843.98/41,148.21 = 19,769.74/x
  3. Step 3: Cross multiply
    29,843.98x = 41,148.21 × 19,769.74
  4. Step 4: Simplify right side
    29,843.98x = 813,489,413.17
  5. Step 5: Solve for x
    x = 813,489,413.17/29,843.98
  6. Step 6: Final answer
    x = 27,258.07

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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.