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Finding the Fourth Proportional to 33,367.50, 46,046.40 and 18,260

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Solution

The fourth proportional to 33,367.50, 46,046.40 and 18,260 is: 25,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,367.50 : 46,046.40 = 18,260 : x
  2. Step 2: Convert to fraction form
    33,367.50/46,046.40 = 18,260/x
  3. Step 3: Cross multiply
    33,367.50x = 46,046.40 × 18,260
  4. Step 4: Simplify right side
    33,367.50x = 840,807,264
  5. Step 5: Solve for x
    x = 840,807,264/33,367.50
  6. Step 6: Final answer
    x = 25,198.39

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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.