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Finding the Fourth Proportional to 30,086.82, 41,530.71 and 17,511.57

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Solution

The fourth proportional to 30,086.82, 41,530.71 and 17,511.57 is: 24,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,086.82 : 41,530.71 = 17,511.57 : x
  2. Step 2: Convert to fraction form
    30,086.82/41,530.71 = 17,511.57/x
  3. Step 3: Cross multiply
    30,086.82x = 41,530.71 × 17,511.57
  4. Step 4: Simplify right side
    30,086.82x = 727,267,935.31
  5. Step 5: Solve for x
    x = 727,267,935.31/30,086.82
  6. Step 6: Final answer
    x = 24,172.31

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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.