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Finding the Fourth Proportional to 54,823.82, 82,169.50 and 26,701.74

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Solution

The fourth proportional to 54,823.82, 82,169.50 and 26,701.74 is: 40,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,823.82 : 82,169.50 = 26,701.74 : x
  2. Step 2: Convert to fraction form
    54,823.82/82,169.50 = 26,701.74/x
  3. Step 3: Cross multiply
    54,823.82x = 82,169.50 × 26,701.74
  4. Step 4: Simplify right side
    54,823.82x = 2,194,068,624.93
  5. Step 5: Solve for x
    x = 2,194,068,624.93/54,823.82
  6. Step 6: Final answer
    x = 40,020.35

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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.