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Finding the Fourth Proportional to 30,775.73, 42,542.24 and 27,451.49

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Solution

The fourth proportional to 30,775.73, 42,542.24 and 27,451.49 is: 37,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.73 : 42,542.24 = 27,451.49 : x
  2. Step 2: Convert to fraction form
    30,775.73/42,542.24 = 27,451.49/x
  3. Step 3: Cross multiply
    30,775.73x = 42,542.24 × 27,451.49
  4. Step 4: Simplify right side
    30,775.73x = 1,167,847,525.97
  5. Step 5: Solve for x
    x = 1,167,847,525.97/30,775.73
  6. Step 6: Final answer
    x = 37,947.04

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