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Finding the Fourth Proportional to 30,734.40, 46,072.08 and 19,609.68

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Solution

The fourth proportional to 30,734.40, 46,072.08 and 19,609.68 is: 29,395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,734.40 : 46,072.08 = 19,609.68 : x
  2. Step 2: Convert to fraction form
    30,734.40/46,072.08 = 19,609.68/x
  3. Step 3: Cross multiply
    30,734.40x = 46,072.08 × 19,609.68
  4. Step 4: Simplify right side
    30,734.40x = 903,458,745.73
  5. Step 5: Solve for x
    x = 903,458,745.73/30,734.40
  6. Step 6: Final answer
    x = 29,395.69

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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.