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Finding the Fourth Proportional to 54,381, 75,045.96 and 31,735.56

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Solution

The fourth proportional to 54,381, 75,045.96 and 31,735.56 is: 43,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,381 : 75,045.96 = 31,735.56 : x
  2. Step 2: Convert to fraction form
    54,381/75,045.96 = 31,735.56/x
  3. Step 3: Cross multiply
    54,381x = 75,045.96 × 31,735.56
  4. Step 4: Simplify right side
    54,381x = 2,381,625,566.34
  5. Step 5: Solve for x
    x = 2,381,625,566.34/54,381
  6. Step 6: Final answer
    x = 43,795.18

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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.