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Finding the Fourth Proportional to 30,770.67, 46,163.25 and 9,994.17

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Solution

The fourth proportional to 30,770.67, 46,163.25 and 9,994.17 is: 14,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.67 : 46,163.25 = 9,994.17 : x
  2. Step 2: Convert to fraction form
    30,770.67/46,163.25 = 9,994.17/x
  3. Step 3: Cross multiply
    30,770.67x = 46,163.25 × 9,994.17
  4. Step 4: Simplify right side
    30,770.67x = 461,363,368.25
  5. Step 5: Solve for x
    x = 461,363,368.25/30,770.67
  6. Step 6: Final answer
    x = 14,993.61

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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.