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Finding the Fourth Proportional to 33,632.14, 46,414.46 and 18,524.80

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Solution

The fourth proportional to 33,632.14, 46,414.46 and 18,524.80 is: 25,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,632.14 : 46,414.46 = 18,524.80 : x
  2. Step 2: Convert to fraction form
    33,632.14/46,414.46 = 18,524.80/x
  3. Step 3: Cross multiply
    33,632.14x = 46,414.46 × 18,524.80
  4. Step 4: Simplify right side
    33,632.14x = 859,818,518.88
  5. Step 5: Solve for x
    x = 859,818,518.88/33,632.14
  6. Step 6: Final answer
    x = 25,565.38

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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.