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Finding the Fourth Proportional to 55,228.32, 76,198.32 and 31,354.56

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Solution

The fourth proportional to 55,228.32, 76,198.32 and 31,354.56 is: 43,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,228.32 : 76,198.32 = 31,354.56 : x
  2. Step 2: Convert to fraction form
    55,228.32/76,198.32 = 31,354.56/x
  3. Step 3: Cross multiply
    55,228.32x = 76,198.32 × 31,354.56
  4. Step 4: Simplify right side
    55,228.32x = 2,389,164,796.34
  5. Step 5: Solve for x
    x = 2,389,164,796.34/55,228.32
  6. Step 6: Final answer
    x = 43,259.78

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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.