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Finding the Fourth Proportional to 50,599.78, 69,826.83 and 27,938.21

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Solution

The fourth proportional to 50,599.78, 69,826.83 and 27,938.21 is: 38,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,599.78 : 69,826.83 = 27,938.21 : x
  2. Step 2: Convert to fraction form
    50,599.78/69,826.83 = 27,938.21/x
  3. Step 3: Cross multiply
    50,599.78x = 69,826.83 × 27,938.21
  4. Step 4: Simplify right side
    50,599.78x = 1,950,836,291.04
  5. Step 5: Solve for x
    x = 1,950,836,291.04/50,599.78
  6. Step 6: Final answer
    x = 38,554.25

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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.