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Finding the Fourth Proportional to 33,899, 46,780.62 and 20,651

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Solution

The fourth proportional to 33,899, 46,780.62 and 20,651 is: 28,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,899 : 46,780.62 = 20,651 : x
  2. Step 2: Convert to fraction form
    33,899/46,780.62 = 20,651/x
  3. Step 3: Cross multiply
    33,899x = 46,780.62 × 20,651
  4. Step 4: Simplify right side
    33,899x = 966,066,583.62
  5. Step 5: Solve for x
    x = 966,066,583.62/33,899
  6. Step 6: Final answer
    x = 28,498.38

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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.