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Finding the Fourth Proportional to 51,173.64, 76,649.36 and 24,823

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Solution

The fourth proportional to 51,173.64, 76,649.36 and 24,823 is: 37,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,173.64 : 76,649.36 = 24,823 : x
  2. Step 2: Convert to fraction form
    51,173.64/76,649.36 = 24,823/x
  3. Step 3: Cross multiply
    51,173.64x = 76,649.36 × 24,823
  4. Step 4: Simplify right side
    51,173.64x = 1,902,667,063.28
  5. Step 5: Solve for x
    x = 1,902,667,063.28/51,173.64
  6. Step 6: Final answer
    x = 37,180.61

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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.