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Finding the Fourth Proportional to 55,151.72, 82,676.28 and 20,083.40

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Solution

The fourth proportional to 55,151.72, 82,676.28 and 20,083.40 is: 30,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,151.72 : 82,676.28 = 20,083.40 : x
  2. Step 2: Convert to fraction form
    55,151.72/82,676.28 = 20,083.40/x
  3. Step 3: Cross multiply
    55,151.72x = 82,676.28 × 20,083.40
  4. Step 4: Simplify right side
    55,151.72x = 1,660,420,801.75
  5. Step 5: Solve for x
    x = 1,660,420,801.75/55,151.72
  6. Step 6: Final answer
    x = 30,106.42

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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.