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Finding the Fourth Proportional to 42,912.54, 59,232.24 and 27,806.04

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Solution

The fourth proportional to 42,912.54, 59,232.24 and 27,806.04 is: 38,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,912.54 : 59,232.24 = 27,806.04 : x
  2. Step 2: Convert to fraction form
    42,912.54/59,232.24 = 27,806.04/x
  3. Step 3: Cross multiply
    42,912.54x = 59,232.24 × 27,806.04
  4. Step 4: Simplify right side
    42,912.54x = 1,647,014,034.73
  5. Step 5: Solve for x
    x = 1,647,014,034.73/42,912.54
  6. Step 6: Final answer
    x = 38,380.72

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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.