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Finding the Fourth Proportional to 51,175.64, 76,652.36 and 24,825

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Solution

The fourth proportional to 51,175.64, 76,652.36 and 24,825 is: 37,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,175.64 : 76,652.36 = 24,825 : x
  2. Step 2: Convert to fraction form
    51,175.64/76,652.36 = 24,825/x
  3. Step 3: Cross multiply
    51,175.64x = 76,652.36 × 24,825
  4. Step 4: Simplify right side
    51,175.64x = 1,902,894,837
  5. Step 5: Solve for x
    x = 1,902,894,837/51,175.64
  6. Step 6: Final answer
    x = 37,183.61

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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.