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Finding the Fourth Proportional to 55,243.40, 82,877.10 and 20,183

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Solution

The fourth proportional to 55,243.40, 82,877.10 and 20,183 is: 30,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,243.40 : 82,877.10 = 20,183 : x
  2. Step 2: Convert to fraction form
    55,243.40/82,877.10 = 20,183/x
  3. Step 3: Cross multiply
    55,243.40x = 82,877.10 × 20,183
  4. Step 4: Simplify right side
    55,243.40x = 1,672,708,509.30
  5. Step 5: Solve for x
    x = 1,672,708,509.30/55,243.40
  6. Step 6: Final answer
    x = 30,278.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.