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Finding the Fourth Proportional to 54,523.08, 75,216.58 and 31,863

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Solution

The fourth proportional to 54,523.08, 75,216.58 and 31,863 is: 43,956.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,523.08 : 75,216.58 = 31,863 : x
  2. Step 2: Convert to fraction form
    54,523.08/75,216.58 = 31,863/x
  3. Step 3: Cross multiply
    54,523.08x = 75,216.58 × 31,863
  4. Step 4: Simplify right side
    54,523.08x = 2,396,625,888.54
  5. Step 5: Solve for x
    x = 2,396,625,888.54/54,523.08
  6. Step 6: Final answer
    x = 43,956.17

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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.