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Finding the Fourth Proportional to 54,411.94, 75,090.41 and 31,765.42

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Solution

The fourth proportional to 54,411.94, 75,090.41 and 31,765.42 is: 43,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,411.94 : 75,090.41 = 31,765.42 : x
  2. Step 2: Convert to fraction form
    54,411.94/75,090.41 = 31,765.42/x
  3. Step 3: Cross multiply
    54,411.94x = 75,090.41 × 31,765.42
  4. Step 4: Simplify right side
    54,411.94x = 2,385,278,411.62
  5. Step 5: Solve for x
    x = 2,385,278,411.62/54,411.94
  6. Step 6: Final answer
    x = 43,837.41

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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.