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Finding the Fourth Proportional to 37,844, 52,137.78 and 29,883.32

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Solution

The fourth proportional to 37,844, 52,137.78 and 29,883.32 is: 41,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,844 : 52,137.78 = 29,883.32 : x
  2. Step 2: Convert to fraction form
    37,844/52,137.78 = 29,883.32/x
  3. Step 3: Cross multiply
    37,844x = 52,137.78 × 29,883.32
  4. Step 4: Simplify right side
    37,844x = 1,558,049,963.83
  5. Step 5: Solve for x
    x = 1,558,049,963.83/37,844
  6. Step 6: Final answer
    x = 41,170.33

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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.