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Finding the Fourth Proportional to 30,289.75, 41,801.83 and 20,211.77

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Solution

The fourth proportional to 30,289.75, 41,801.83 and 20,211.77 is: 27,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,289.75 : 41,801.83 = 20,211.77 : x
  2. Step 2: Convert to fraction form
    30,289.75/41,801.83 = 20,211.77/x
  3. Step 3: Cross multiply
    30,289.75x = 41,801.83 × 20,211.77
  4. Step 4: Simplify right side
    30,289.75x = 844,889,027.51
  5. Step 5: Solve for x
    x = 844,889,027.51/30,289.75
  6. Step 6: Final answer
    x = 27,893.56

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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.