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Finding the Fourth Proportional to 37,781.88, 52,138.30 and 25,844.82

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Solution

The fourth proportional to 37,781.88, 52,138.30 and 25,844.82 is: 35,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,781.88 : 52,138.30 = 25,844.82 : x
  2. Step 2: Convert to fraction form
    37,781.88/52,138.30 = 25,844.82/x
  3. Step 3: Cross multiply
    37,781.88x = 52,138.30 × 25,844.82
  4. Step 4: Simplify right side
    37,781.88x = 1,347,504,978.61
  5. Step 5: Solve for x
    x = 1,347,504,978.61/37,781.88
  6. Step 6: Final answer
    x = 35,665.38

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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.