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Finding the Fourth Proportional to 30,658.09, 42,309.41 and 17,229.31

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Solution

The fourth proportional to 30,658.09, 42,309.41 and 17,229.31 is: 23,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.09 : 42,309.41 = 17,229.31 : x
  2. Step 2: Convert to fraction form
    30,658.09/42,309.41 = 17,229.31/x
  3. Step 3: Cross multiply
    30,658.09x = 42,309.41 × 17,229.31
  4. Step 4: Simplify right side
    30,658.09x = 728,961,940.81
  5. Step 5: Solve for x
    x = 728,961,940.81/30,658.09
  6. Step 6: Final answer
    x = 23,777.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.