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Finding the Fourth Proportional to 30,296.87, 45,442.08 and 8,112.48

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Solution

The fourth proportional to 30,296.87, 45,442.08 and 8,112.48 is: 12,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.87 : 45,442.08 = 8,112.48 : x
  2. Step 2: Convert to fraction form
    30,296.87/45,442.08 = 8,112.48/x
  3. Step 3: Cross multiply
    30,296.87x = 45,442.08 × 8,112.48
  4. Step 4: Simplify right side
    30,296.87x = 368,647,965.16
  5. Step 5: Solve for x
    x = 368,647,965.16/30,296.87
  6. Step 6: Final answer
    x = 12,167.86

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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.