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Finding the Fourth Proportional to 30,219.87, 45,330.23 and 8,033.14

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Solution

The fourth proportional to 30,219.87, 45,330.23 and 8,033.14 is: 12,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.87 : 45,330.23 = 8,033.14 : x
  2. Step 2: Convert to fraction form
    30,219.87/45,330.23 = 8,033.14/x
  3. Step 3: Cross multiply
    30,219.87x = 45,330.23 × 8,033.14
  4. Step 4: Simplify right side
    30,219.87x = 364,144,083.82
  5. Step 5: Solve for x
    x = 364,144,083.82/30,219.87
  6. Step 6: Final answer
    x = 12,049.82

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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.