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Finding the Fourth Proportional to 34,193.75, 51,295.74 and 12,003.21

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Solution

The fourth proportional to 34,193.75, 51,295.74 and 12,003.21 is: 18,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193.75 : 51,295.74 = 12,003.21 : x
  2. Step 2: Convert to fraction form
    34,193.75/51,295.74 = 12,003.21/x
  3. Step 3: Cross multiply
    34,193.75x = 51,295.74 × 12,003.21
  4. Step 4: Simplify right side
    34,193.75x = 615,713,722.98
  5. Step 5: Solve for x
    x = 615,713,722.98/34,193.75
  6. Step 6: Final answer
    x = 18,006.62

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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.