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Finding the Fourth Proportional to 54,382.49, 75,046.71 and 30,182.06

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Solution

The fourth proportional to 54,382.49, 75,046.71 and 30,182.06 is: 41,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,382.49 : 75,046.71 = 30,182.06 : x
  2. Step 2: Convert to fraction form
    54,382.49/75,046.71 = 30,182.06/x
  3. Step 3: Cross multiply
    54,382.49x = 75,046.71 × 30,182.06
  4. Step 4: Simplify right side
    54,382.49x = 2,265,064,012.91
  5. Step 5: Solve for x
    x = 2,265,064,012.91/54,382.49
  6. Step 6: Final answer
    x = 41,650.61

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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.