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Finding the Fourth Proportional to 30,338.77, 41,847.96 and 20,129.58

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Solution

The fourth proportional to 30,338.77, 41,847.96 and 20,129.58 is: 27,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338.77 : 41,847.96 = 20,129.58 : x
  2. Step 2: Convert to fraction form
    30,338.77/41,847.96 = 20,129.58/x
  3. Step 3: Cross multiply
    30,338.77x = 41,847.96 × 20,129.58
  4. Step 4: Simplify right side
    30,338.77x = 842,381,858.66
  5. Step 5: Solve for x
    x = 842,381,858.66/30,338.77
  6. Step 6: Final answer
    x = 27,765.85

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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.