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Finding the Fourth Proportional to 54,405.12, 75,079.20 and 31,759.68

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Solution

The fourth proportional to 54,405.12, 75,079.20 and 31,759.68 is: 43,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,405.12 : 75,079.20 = 31,759.68 : x
  2. Step 2: Convert to fraction form
    54,405.12/75,079.20 = 31,759.68/x
  3. Step 3: Cross multiply
    54,405.12x = 75,079.20 × 31,759.68
  4. Step 4: Simplify right side
    54,405.12x = 2,384,491,366.66
  5. Step 5: Solve for x
    x = 2,384,491,366.66/54,405.12
  6. Step 6: Final answer
    x = 43,828.44

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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.