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Finding the Fourth Proportional to 43,633, 65,449.50 and 10,801

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Solution

The fourth proportional to 43,633, 65,449.50 and 10,801 is: 16,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,633 : 65,449.50 = 10,801 : x
  2. Step 2: Convert to fraction form
    43,633/65,449.50 = 10,801/x
  3. Step 3: Cross multiply
    43,633x = 65,449.50 × 10,801
  4. Step 4: Simplify right side
    43,633x = 706,920,049.50
  5. Step 5: Solve for x
    x = 706,920,049.50/43,633
  6. Step 6: Final answer
    x = 16,201.50

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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.