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Finding the Fourth Proportional to 31,745.52, 47,640.15 and 14,234.94

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Solution

The fourth proportional to 31,745.52, 47,640.15 and 14,234.94 is: 21,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.52 : 47,640.15 = 14,234.94 : x
  2. Step 2: Convert to fraction form
    31,745.52/47,640.15 = 14,234.94/x
  3. Step 3: Cross multiply
    31,745.52x = 47,640.15 × 14,234.94
  4. Step 4: Simplify right side
    31,745.52x = 678,154,676.84
  5. Step 5: Solve for x
    x = 678,154,676.84/31,745.52
  6. Step 6: Final answer
    x = 21,362.22

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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.