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Finding the Fourth Proportional to 38,134.25, 52,625.28 and 23,230.25

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Solution

The fourth proportional to 38,134.25, 52,625.28 and 23,230.25 is: 32,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,134.25 : 52,625.28 = 23,230.25 : x
  2. Step 2: Convert to fraction form
    38,134.25/52,625.28 = 23,230.25/x
  3. Step 3: Cross multiply
    38,134.25x = 52,625.28 × 23,230.25
  4. Step 4: Simplify right side
    38,134.25x = 1,222,498,410.72
  5. Step 5: Solve for x
    x = 1,222,498,410.72/38,134.25
  6. Step 6: Final answer
    x = 32,057.75

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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.