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Finding the Fourth Proportional to 30,497.15, 45,745.73 and 20,033.30

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Solution

The fourth proportional to 30,497.15, 45,745.73 and 20,033.30 is: 30,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.15 : 45,745.73 = 20,033.30 : x
  2. Step 2: Convert to fraction form
    30,497.15/45,745.73 = 20,033.30/x
  3. Step 3: Cross multiply
    30,497.15x = 45,745.73 × 20,033.30
  4. Step 4: Simplify right side
    30,497.15x = 916,437,932.81
  5. Step 5: Solve for x
    x = 916,437,932.81/30,497.15
  6. Step 6: Final answer
    x = 30,049.95

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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.