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Finding the Fourth Proportional to 38,451.38, 53,062.90 and 21,684.38

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Solution

The fourth proportional to 38,451.38, 53,062.90 and 21,684.38 is: 29,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,451.38 : 53,062.90 = 21,684.38 : x
  2. Step 2: Convert to fraction form
    38,451.38/53,062.90 = 21,684.38/x
  3. Step 3: Cross multiply
    38,451.38x = 53,062.90 × 21,684.38
  4. Step 4: Simplify right side
    38,451.38x = 1,150,635,767.98
  5. Step 5: Solve for x
    x = 1,150,635,767.98/38,451.38
  6. Step 6: Final answer
    x = 29,924.44

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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.