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Finding the Fourth Proportional to 30,291.25, 41,836.92 and 20,202.16

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Solution

The fourth proportional to 30,291.25, 41,836.92 and 20,202.16 is: 27,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.25 : 41,836.92 = 20,202.16 : x
  2. Step 2: Convert to fraction form
    30,291.25/41,836.92 = 20,202.16/x
  3. Step 3: Cross multiply
    30,291.25x = 41,836.92 × 20,202.16
  4. Step 4: Simplify right side
    30,291.25x = 845,195,942.56
  5. Step 5: Solve for x
    x = 845,195,942.56/30,291.25
  6. Step 6: Final answer
    x = 27,902.31

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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.