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Finding the Fourth Proportional to 51,205.57, 76,832.73 and 23,134.21

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Solution

The fourth proportional to 51,205.57, 76,832.73 and 23,134.21 is: 34,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,205.57 : 76,832.73 = 23,134.21 : x
  2. Step 2: Convert to fraction form
    51,205.57/76,832.73 = 23,134.21/x
  3. Step 3: Cross multiply
    51,205.57x = 76,832.73 × 23,134.21
  4. Step 4: Simplify right side
    51,205.57x = 1,777,464,253.55
  5. Step 5: Solve for x
    x = 1,777,464,253.55/51,205.57
  6. Step 6: Final answer
    x = 34,712.32

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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.