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Finding the Fourth Proportional to 50,576.94, 69,796.38 and 27,916.13

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Solution

The fourth proportional to 50,576.94, 69,796.38 and 27,916.13 is: 38,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,576.94 : 69,796.38 = 27,916.13 : x
  2. Step 2: Convert to fraction form
    50,576.94/69,796.38 = 27,916.13/x
  3. Step 3: Cross multiply
    50,576.94x = 69,796.38 × 27,916.13
  4. Step 4: Simplify right side
    50,576.94x = 1,948,444,817.61
  5. Step 5: Solve for x
    x = 1,948,444,817.61/50,576.94
  6. Step 6: Final answer
    x = 38,524.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.