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Finding the Fourth Proportional to 38,504.52, 57,745.44 and 13,539.96

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Solution

The fourth proportional to 38,504.52, 57,745.44 and 13,539.96 is: 20,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,504.52 : 57,745.44 = 13,539.96 : x
  2. Step 2: Convert to fraction form
    38,504.52/57,745.44 = 13,539.96/x
  3. Step 3: Cross multiply
    38,504.52x = 57,745.44 × 13,539.96
  4. Step 4: Simplify right side
    38,504.52x = 781,870,947.78
  5. Step 5: Solve for x
    x = 781,870,947.78/38,504.52
  6. Step 6: Final answer
    x = 20,305.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.