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Finding the Fourth Proportional to 50,576.68, 75,896.70 and 19,415.08

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Solution

The fourth proportional to 50,576.68, 75,896.70 and 19,415.08 is: 29,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,576.68 : 75,896.70 = 19,415.08 : x
  2. Step 2: Convert to fraction form
    50,576.68/75,896.70 = 19,415.08/x
  3. Step 3: Cross multiply
    50,576.68x = 75,896.70 × 19,415.08
  4. Step 4: Simplify right side
    50,576.68x = 1,473,540,502.24
  5. Step 5: Solve for x
    x = 1,473,540,502.24/50,576.68
  6. Step 6: Final answer
    x = 29,134.78

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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.