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Finding the Fourth Proportional to 29,902.44, 41,268.06 and 16,476.36

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Solution

The fourth proportional to 29,902.44, 41,268.06 and 16,476.36 is: 22,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902.44 : 41,268.06 = 16,476.36 : x
  2. Step 2: Convert to fraction form
    29,902.44/41,268.06 = 16,476.36/x
  3. Step 3: Cross multiply
    29,902.44x = 41,268.06 × 16,476.36
  4. Step 4: Simplify right side
    29,902.44x = 679,947,413.06
  5. Step 5: Solve for x
    x = 679,947,413.06/29,902.44
  6. Step 6: Final answer
    x = 22,738.86

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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.