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Finding the Fourth Proportional to 30,286.83, 45,432.55 and 9,228.67

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Solution

The fourth proportional to 30,286.83, 45,432.55 and 9,228.67 is: 13,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.83 : 45,432.55 = 9,228.67 : x
  2. Step 2: Convert to fraction form
    30,286.83/45,432.55 = 9,228.67/x
  3. Step 3: Cross multiply
    30,286.83x = 45,432.55 × 9,228.67
  4. Step 4: Simplify right side
    30,286.83x = 419,282,011.21
  5. Step 5: Solve for x
    x = 419,282,011.21/30,286.83
  6. Step 6: Final answer
    x = 13,843.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.