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Finding the Fourth Proportional to 38,297.20, 57,447.60 and 12,002.80

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Solution

The fourth proportional to 38,297.20, 57,447.60 and 12,002.80 is: 18,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,297.20 : 57,447.60 = 12,002.80 : x
  2. Step 2: Convert to fraction form
    38,297.20/57,447.60 = 12,002.80/x
  3. Step 3: Cross multiply
    38,297.20x = 57,447.60 × 12,002.80
  4. Step 4: Simplify right side
    38,297.20x = 689,532,053.28
  5. Step 5: Solve for x
    x = 689,532,053.28/38,297.20
  6. Step 6: Final answer
    x = 18,004.76

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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.