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Finding the Fourth Proportional to 32,336.40, 48,511.90 and 10,149.70

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Solution

The fourth proportional to 32,336.40, 48,511.90 and 10,149.70 is: 15,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,336.40 : 48,511.90 = 10,149.70 : x
  2. Step 2: Convert to fraction form
    32,336.40/48,511.90 = 10,149.70/x
  3. Step 3: Cross multiply
    32,336.40x = 48,511.90 × 10,149.70
  4. Step 4: Simplify right side
    32,336.40x = 492,381,231.43
  5. Step 5: Solve for x
    x = 492,381,231.43/32,336.40
  6. Step 6: Final answer
    x = 15,226.84

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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.