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Finding the Fourth Proportional to 38,523.44, 53,166.12 and 23,414.78

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Solution

The fourth proportional to 38,523.44, 53,166.12 and 23,414.78 is: 32,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,523.44 : 53,166.12 = 23,414.78 : x
  2. Step 2: Convert to fraction form
    38,523.44/53,166.12 = 23,414.78/x
  3. Step 3: Cross multiply
    38,523.44x = 53,166.12 × 23,414.78
  4. Step 4: Simplify right side
    38,523.44x = 1,244,873,003.25
  5. Step 5: Solve for x
    x = 1,244,873,003.25/38,523.44
  6. Step 6: Final answer
    x = 32,314.69

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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.