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Finding the Fourth Proportional to 30,814.82, 46,229.19 and 9,756.14

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Solution

The fourth proportional to 30,814.82, 46,229.19 and 9,756.14 is: 14,636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.82 : 46,229.19 = 9,756.14 : x
  2. Step 2: Convert to fraction form
    30,814.82/46,229.19 = 9,756.14/x
  3. Step 3: Cross multiply
    30,814.82x = 46,229.19 × 9,756.14
  4. Step 4: Simplify right side
    30,814.82x = 451,018,449.73
  5. Step 5: Solve for x
    x = 451,018,449.73/30,814.82
  6. Step 6: Final answer
    x = 14,636.41

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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.