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Finding the Fourth Proportional to 33,642, 46,425.96 and 18,738.96

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Solution

The fourth proportional to 33,642, 46,425.96 and 18,738.96 is: 25,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642 : 46,425.96 = 18,738.96 : x
  2. Step 2: Convert to fraction form
    33,642/46,425.96 = 18,738.96/x
  3. Step 3: Cross multiply
    33,642x = 46,425.96 × 18,738.96
  4. Step 4: Simplify right side
    33,642x = 869,974,207.40
  5. Step 5: Solve for x
    x = 869,974,207.40/33,642
  6. Step 6: Final answer
    x = 25,859.76

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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.