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Finding the Fourth Proportional to 50,598.01, 69,824.94 and 27,938.41

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Solution

The fourth proportional to 50,598.01, 69,824.94 and 27,938.41 is: 38,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,598.01 : 69,824.94 = 27,938.41 : x
  2. Step 2: Convert to fraction form
    50,598.01/69,824.94 = 27,938.41/x
  3. Step 3: Cross multiply
    50,598.01x = 69,824.94 × 27,938.41
  4. Step 4: Simplify right side
    50,598.01x = 1,950,797,801.95
  5. Step 5: Solve for x
    x = 1,950,797,801.95/50,598.01
  6. Step 6: Final answer
    x = 38,554.83

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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.