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Finding the Fourth Proportional to 31,164.92, 46,745.79 and 11,441.96

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Solution

The fourth proportional to 31,164.92, 46,745.79 and 11,441.96 is: 17,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.92 : 46,745.79 = 11,441.96 : x
  2. Step 2: Convert to fraction form
    31,164.92/46,745.79 = 11,441.96/x
  3. Step 3: Cross multiply
    31,164.92x = 46,745.79 × 11,441.96
  4. Step 4: Simplify right side
    31,164.92x = 534,863,459.35
  5. Step 5: Solve for x
    x = 534,863,459.35/31,164.92
  6. Step 6: Final answer
    x = 17,162.36

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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.