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Finding the Fourth Proportional to 30,405.38, 41,958.95 and 16,976.82

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Solution

The fourth proportional to 30,405.38, 41,958.95 and 16,976.82 is: 23,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405.38 : 41,958.95 = 16,976.82 : x
  2. Step 2: Convert to fraction form
    30,405.38/41,958.95 = 16,976.82/x
  3. Step 3: Cross multiply
    30,405.38x = 41,958.95 × 16,976.82
  4. Step 4: Simplify right side
    30,405.38x = 712,329,614.00
  5. Step 5: Solve for x
    x = 712,329,614.00/30,405.38
  6. Step 6: Final answer
    x = 23,427.75

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Why These Related Problems?

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