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Finding the Fourth Proportional to 55,682.43, 76,840.81 and 31,483

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Solution

The fourth proportional to 55,682.43, 76,840.81 and 31,483 is: 43,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,682.43 : 76,840.81 = 31,483 : x
  2. Step 2: Convert to fraction form
    55,682.43/76,840.81 = 31,483/x
  3. Step 3: Cross multiply
    55,682.43x = 76,840.81 × 31,483
  4. Step 4: Simplify right side
    55,682.43x = 2,419,179,221.23
  5. Step 5: Solve for x
    x = 2,419,179,221.23/55,682.43
  6. Step 6: Final answer
    x = 43,446.01

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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.