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Finding the Fourth Proportional to 54,940.78, 75,822.08 and 31,067.55

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Solution

The fourth proportional to 54,940.78, 75,822.08 and 31,067.55 is: 42,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940.78 : 75,822.08 = 31,067.55 : x
  2. Step 2: Convert to fraction form
    54,940.78/75,822.08 = 31,067.55/x
  3. Step 3: Cross multiply
    54,940.78x = 75,822.08 × 31,067.55
  4. Step 4: Simplify right side
    54,940.78x = 2,355,606,106.17
  5. Step 5: Solve for x
    x = 2,355,606,106.17/54,940.78
  6. Step 6: Final answer
    x = 42,875.37

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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.