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Finding the Fourth Proportional to 30,969.27, 46,453.89 and 8,782.84

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Solution

The fourth proportional to 30,969.27, 46,453.89 and 8,782.84 is: 13,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.27 : 46,453.89 = 8,782.84 : x
  2. Step 2: Convert to fraction form
    30,969.27/46,453.89 = 8,782.84/x
  3. Step 3: Cross multiply
    30,969.27x = 46,453.89 × 8,782.84
  4. Step 4: Simplify right side
    30,969.27x = 407,997,083.25
  5. Step 5: Solve for x
    x = 407,997,083.25/30,969.27
  6. Step 6: Final answer
    x = 13,174.26

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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.