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Finding the Fourth Proportional to 31,155.96, 46,705.14 and 12,431.44

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Solution

The fourth proportional to 31,155.96, 46,705.14 and 12,431.44 is: 18,635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,155.96 : 46,705.14 = 12,431.44 : x
  2. Step 2: Convert to fraction form
    31,155.96/46,705.14 = 12,431.44/x
  3. Step 3: Cross multiply
    31,155.96x = 46,705.14 × 12,431.44
  4. Step 4: Simplify right side
    31,155.96x = 580,612,145.60
  5. Step 5: Solve for x
    x = 580,612,145.60/31,155.96
  6. Step 6: Final answer
    x = 18,635.67

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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.