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Finding the Fourth Proportional to 31,745.70, 47,625.42 and 9,557.37

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Solution

The fourth proportional to 31,745.70, 47,625.42 and 9,557.37 is: 14,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.70 : 47,625.42 = 9,557.37 : x
  2. Step 2: Convert to fraction form
    31,745.70/47,625.42 = 9,557.37/x
  3. Step 3: Cross multiply
    31,745.70x = 47,625.42 × 9,557.37
  4. Step 4: Simplify right side
    31,745.70x = 455,173,760.35
  5. Step 5: Solve for x
    x = 455,173,760.35/31,745.70
  6. Step 6: Final answer
    x = 14,338.12

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