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Finding the Fourth Proportional to 30,228.80, 41,709.30 and 18,289.76

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Solution

The fourth proportional to 30,228.80, 41,709.30 and 18,289.76 is: 25,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228.80 : 41,709.30 = 18,289.76 : x
  2. Step 2: Convert to fraction form
    30,228.80/41,709.30 = 18,289.76/x
  3. Step 3: Cross multiply
    30,228.80x = 41,709.30 × 18,289.76
  4. Step 4: Simplify right side
    30,228.80x = 762,853,086.77
  5. Step 5: Solve for x
    x = 762,853,086.77/30,228.80
  6. Step 6: Final answer
    x = 25,235.97

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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.