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Finding the Fourth Proportional to 27,737.20, 41,605.80 and 26,206.30

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Solution

The fourth proportional to 27,737.20, 41,605.80 and 26,206.30 is: 39,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.20 : 41,605.80 = 26,206.30 : x
  2. Step 2: Convert to fraction form
    27,737.20/41,605.80 = 26,206.30/x
  3. Step 3: Cross multiply
    27,737.20x = 41,605.80 × 26,206.30
  4. Step 4: Simplify right side
    27,737.20x = 1,090,334,076.54
  5. Step 5: Solve for x
    x = 1,090,334,076.54/27,737.20
  6. Step 6: Final answer
    x = 39,309.45

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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.