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Finding the Fourth Proportional to 30,906.68, 46,339.53 and 11,182.67

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Solution

The fourth proportional to 30,906.68, 46,339.53 and 11,182.67 is: 16,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.68 : 46,339.53 = 11,182.67 : x
  2. Step 2: Convert to fraction form
    30,906.68/46,339.53 = 11,182.67/x
  3. Step 3: Cross multiply
    30,906.68x = 46,339.53 × 11,182.67
  4. Step 4: Simplify right side
    30,906.68x = 518,199,440.25
  5. Step 5: Solve for x
    x = 518,199,440.25/30,906.68
  6. Step 6: Final answer
    x = 16,766.59

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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.