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Finding the Fourth Proportional to 55,122, 76,067.76 and 29,971.44

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Solution

The fourth proportional to 55,122, 76,067.76 and 29,971.44 is: 41,360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,122 : 76,067.76 = 29,971.44 : x
  2. Step 2: Convert to fraction form
    55,122/76,067.76 = 29,971.44/x
  3. Step 3: Cross multiply
    55,122x = 76,067.76 × 29,971.44
  4. Step 4: Simplify right side
    55,122x = 2,279,860,304.77
  5. Step 5: Solve for x
    x = 2,279,860,304.77/55,122
  6. Step 6: Final answer
    x = 41,360.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.