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Finding the Fourth Proportional to 30,871.97, 46,370.01 and 18,416.33

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Solution

The fourth proportional to 30,871.97, 46,370.01 and 18,416.33 is: 27,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.97 : 46,370.01 = 18,416.33 : x
  2. Step 2: Convert to fraction form
    30,871.97/46,370.01 = 18,416.33/x
  3. Step 3: Cross multiply
    30,871.97x = 46,370.01 × 18,416.33
  4. Step 4: Simplify right side
    30,871.97x = 853,965,406.26
  5. Step 5: Solve for x
    x = 853,965,406.26/30,871.97
  6. Step 6: Final answer
    x = 27,661.51

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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.