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Finding the Fourth Proportional to 82,367.62, 123,560.50 and 26,194.59

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Solution

The fourth proportional to 82,367.62, 123,560.50 and 26,194.59 is: 39,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,367.62 : 123,560.50 = 26,194.59 : x
  2. Step 2: Convert to fraction form
    82,367.62/123,560.50 = 26,194.59/x
  3. Step 3: Cross multiply
    82,367.62x = 123,560.50 × 26,194.59
  4. Step 4: Simplify right side
    82,367.62x = 3,236,616,637.70
  5. Step 5: Solve for x
    x = 3,236,616,637.70/82,367.62
  6. Step 6: Final answer
    x = 39,294.77

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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.