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Finding the Fourth Proportional to 50,599.48, 69,826.89 and 27,938.47

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Solution

The fourth proportional to 50,599.48, 69,826.89 and 27,938.47 is: 38,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,599.48 : 69,826.89 = 27,938.47 : x
  2. Step 2: Convert to fraction form
    50,599.48/69,826.89 = 27,938.47/x
  3. Step 3: Cross multiply
    50,599.48x = 69,826.89 × 27,938.47
  4. Step 4: Simplify right side
    50,599.48x = 1,950,856,471.46
  5. Step 5: Solve for x
    x = 1,950,856,471.46/50,599.48
  6. Step 6: Final answer
    x = 38,554.87

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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.