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Finding the Fourth Proportional to 34,536.44, 51,807.60 and 9,576.50

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Solution

The fourth proportional to 34,536.44, 51,807.60 and 9,576.50 is: 14,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,536.44 : 51,807.60 = 9,576.50 : x
  2. Step 2: Convert to fraction form
    34,536.44/51,807.60 = 9,576.50/x
  3. Step 3: Cross multiply
    34,536.44x = 51,807.60 × 9,576.50
  4. Step 4: Simplify right side
    34,536.44x = 496,135,222.36
  5. Step 5: Solve for x
    x = 496,135,222.36/34,536.44
  6. Step 6: Final answer
    x = 14,365.56

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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.