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Finding the Fourth Proportional to 33,825.38, 46,678.33 and 18,717.14

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Solution

The fourth proportional to 33,825.38, 46,678.33 and 18,717.14 is: 25,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,825.38 : 46,678.33 = 18,717.14 : x
  2. Step 2: Convert to fraction form
    33,825.38/46,678.33 = 18,717.14/x
  3. Step 3: Cross multiply
    33,825.38x = 46,678.33 × 18,717.14
  4. Step 4: Simplify right side
    33,825.38x = 873,684,970.85
  5. Step 5: Solve for x
    x = 873,684,970.85/33,825.38
  6. Step 6: Final answer
    x = 25,829.27

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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.