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Finding the Fourth Proportional to 30,832.62, 46,234.50 and 11,108.58

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Solution

The fourth proportional to 30,832.62, 46,234.50 and 11,108.58 is: 16,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.62 : 46,234.50 = 11,108.58 : x
  2. Step 2: Convert to fraction form
    30,832.62/46,234.50 = 11,108.58/x
  3. Step 3: Cross multiply
    30,832.62x = 46,234.50 × 11,108.58
  4. Step 4: Simplify right side
    30,832.62x = 513,599,642.01
  5. Step 5: Solve for x
    x = 513,599,642.01/30,832.62
  6. Step 6: Final answer
    x = 16,657.67

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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.