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Finding the Fourth Proportional to 30,193.66, 45,273.21 and 12,648.70

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Solution

The fourth proportional to 30,193.66, 45,273.21 and 12,648.70 is: 18,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,193.66 : 45,273.21 = 12,648.70 : x
  2. Step 2: Convert to fraction form
    30,193.66/45,273.21 = 12,648.70/x
  3. Step 3: Cross multiply
    30,193.66x = 45,273.21 × 12,648.70
  4. Step 4: Simplify right side
    30,193.66x = 572,647,251.33
  5. Step 5: Solve for x
    x = 572,647,251.33/30,193.66
  6. Step 6: Final answer
    x = 18,965.81

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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.