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Finding the Fourth Proportional to 32,825.86, 49,247.25 and 9,454.12

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Solution

The fourth proportional to 32,825.86, 49,247.25 and 9,454.12 is: 14,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,825.86 : 49,247.25 = 9,454.12 : x
  2. Step 2: Convert to fraction form
    32,825.86/49,247.25 = 9,454.12/x
  3. Step 3: Cross multiply
    32,825.86x = 49,247.25 × 9,454.12
  4. Step 4: Simplify right side
    32,825.86x = 465,589,411.17
  5. Step 5: Solve for x
    x = 465,589,411.17/32,825.86
  6. Step 6: Final answer
    x = 14,183.62

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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.