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Finding the Fourth Proportional to 38,495.41, 57,745.16 and 12,202.20

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Solution

The fourth proportional to 38,495.41, 57,745.16 and 12,202.20 is: 18,303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,495.41 : 57,745.16 = 12,202.20 : x
  2. Step 2: Convert to fraction form
    38,495.41/57,745.16 = 12,202.20/x
  3. Step 3: Cross multiply
    38,495.41x = 57,745.16 × 12,202.20
  4. Step 4: Simplify right side
    38,495.41x = 704,617,930.34
  5. Step 5: Solve for x
    x = 704,617,930.34/38,495.41
  6. Step 6: Final answer
    x = 18,303.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.