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Finding the Fourth Proportional to 32,454.20, 48,694.10 and 12,729.40

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Solution

The fourth proportional to 32,454.20, 48,694.10 and 12,729.40 is: 19,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454.20 : 48,694.10 = 12,729.40 : x
  2. Step 2: Convert to fraction form
    32,454.20/48,694.10 = 12,729.40/x
  3. Step 3: Cross multiply
    32,454.20x = 48,694.10 × 12,729.40
  4. Step 4: Simplify right side
    32,454.20x = 619,846,676.54
  5. Step 5: Solve for x
    x = 619,846,676.54/32,454.20
  6. Step 6: Final answer
    x = 19,099.12

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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.