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Finding the Fourth Proportional to 54,506.94, 75,219.21 and 31,845.30

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Solution

The fourth proportional to 54,506.94, 75,219.21 and 31,845.30 is: 43,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,506.94 : 75,219.21 = 31,845.30 : x
  2. Step 2: Convert to fraction form
    54,506.94/75,219.21 = 31,845.30/x
  3. Step 3: Cross multiply
    54,506.94x = 75,219.21 × 31,845.30
  4. Step 4: Simplify right side
    54,506.94x = 2,395,378,308.21
  5. Step 5: Solve for x
    x = 2,395,378,308.21/54,506.94
  6. Step 6: Final answer
    x = 43,946.30

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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.