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Finding the Fourth Proportional to 30,823.24, 46,234.86 and 7,449.67

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Solution

The fourth proportional to 30,823.24, 46,234.86 and 7,449.67 is: 11,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.24 : 46,234.86 = 7,449.67 : x
  2. Step 2: Convert to fraction form
    30,823.24/46,234.86 = 7,449.67/x
  3. Step 3: Cross multiply
    30,823.24x = 46,234.86 × 7,449.67
  4. Step 4: Simplify right side
    30,823.24x = 344,434,449.50
  5. Step 5: Solve for x
    x = 344,434,449.50/30,823.24
  6. Step 6: Final answer
    x = 11,174.51

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.