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Finding the Fourth Proportional to 54,859.50, 82,235.70 and 26,778.42

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Solution

The fourth proportional to 54,859.50, 82,235.70 and 26,778.42 is: 40,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,859.50 : 82,235.70 = 26,778.42 : x
  2. Step 2: Convert to fraction form
    54,859.50/82,235.70 = 26,778.42/x
  3. Step 3: Cross multiply
    54,859.50x = 82,235.70 × 26,778.42
  4. Step 4: Simplify right side
    54,859.50x = 2,202,142,113.59
  5. Step 5: Solve for x
    x = 2,202,142,113.59/54,859.50
  6. Step 6: Final answer
    x = 40,141.49

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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.