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Finding the Fourth Proportional to 55,120.42, 82,694.50 and 15,677.54

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Solution

The fourth proportional to 55,120.42, 82,694.50 and 15,677.54 is: 23,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,120.42 : 82,694.50 = 15,677.54 : x
  2. Step 2: Convert to fraction form
    55,120.42/82,694.50 = 15,677.54/x
  3. Step 3: Cross multiply
    55,120.42x = 82,694.50 × 15,677.54
  4. Step 4: Simplify right side
    55,120.42x = 1,296,446,331.53
  5. Step 5: Solve for x
    x = 1,296,446,331.53/55,120.42
  6. Step 6: Final answer
    x = 23,520.25

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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.