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Finding the Fourth Proportional to 30,219.81, 45,330.14 and 8,033.08

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Solution

The fourth proportional to 30,219.81, 45,330.14 and 8,033.08 is: 12,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.81 : 45,330.14 = 8,033.08 : x
  2. Step 2: Convert to fraction form
    30,219.81/45,330.14 = 8,033.08/x
  3. Step 3: Cross multiply
    30,219.81x = 45,330.14 × 8,033.08
  4. Step 4: Simplify right side
    30,219.81x = 364,140,487.54
  5. Step 5: Solve for x
    x = 364,140,487.54/30,219.81
  6. Step 6: Final answer
    x = 12,049.73

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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.