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Finding the Fourth Proportional to 51,096.76, 76,619.22 and 23,371

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Solution

The fourth proportional to 51,096.76, 76,619.22 and 23,371 is: 35,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,096.76 : 76,619.22 = 23,371 : x
  2. Step 2: Convert to fraction form
    51,096.76/76,619.22 = 23,371/x
  3. Step 3: Cross multiply
    51,096.76x = 76,619.22 × 23,371
  4. Step 4: Simplify right side
    51,096.76x = 1,790,667,790.62
  5. Step 5: Solve for x
    x = 1,790,667,790.62/51,096.76
  6. Step 6: Final answer
    x = 35,044.64

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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.