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Finding the Fourth Proportional to 30,578.82, 42,198.17 and 17,153.37

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Solution

The fourth proportional to 30,578.82, 42,198.17 and 17,153.37 is: 23,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.82 : 42,198.17 = 17,153.37 : x
  2. Step 2: Convert to fraction form
    30,578.82/42,198.17 = 17,153.37/x
  3. Step 3: Cross multiply
    30,578.82x = 42,198.17 × 17,153.37
  4. Step 4: Simplify right side
    30,578.82x = 723,840,737.57
  5. Step 5: Solve for x
    x = 723,840,737.57/30,578.82
  6. Step 6: Final answer
    x = 23,671.31

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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.