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Finding the Fourth Proportional to 76,576.96, 114,865.48 and 29,181

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Solution

The fourth proportional to 76,576.96, 114,865.48 and 29,181 is: 43,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,576.96 : 114,865.48 = 29,181 : x
  2. Step 2: Convert to fraction form
    76,576.96/114,865.48 = 29,181/x
  3. Step 3: Cross multiply
    76,576.96x = 114,865.48 × 29,181
  4. Step 4: Simplify right side
    76,576.96x = 3,351,889,571.88
  5. Step 5: Solve for x
    x = 3,351,889,571.88/76,576.96
  6. Step 6: Final answer
    x = 43,771.52

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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.