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Finding the Fourth Proportional to 30,819.65, 46,234.66 and 9,765.56

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Solution

The fourth proportional to 30,819.65, 46,234.66 and 9,765.56 is: 14,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.65 : 46,234.66 = 9,765.56 : x
  2. Step 2: Convert to fraction form
    30,819.65/46,234.66 = 9,765.56/x
  3. Step 3: Cross multiply
    30,819.65x = 46,234.66 × 9,765.56
  4. Step 4: Simplify right side
    30,819.65x = 451,507,297.48
  5. Step 5: Solve for x
    x = 451,507,297.48/30,819.65
  6. Step 6: Final answer
    x = 14,649.98

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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.