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Finding the Fourth Proportional to 27,785.40, 41,701.40 and 26,033.82

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Solution

The fourth proportional to 27,785.40, 41,701.40 and 26,033.82 is: 39,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.40 : 41,701.40 = 26,033.82 : x
  2. Step 2: Convert to fraction form
    27,785.40/41,701.40 = 26,033.82/x
  3. Step 3: Cross multiply
    27,785.40x = 41,701.40 × 26,033.82
  4. Step 4: Simplify right side
    27,785.40x = 1,085,646,597.93
  5. Step 5: Solve for x
    x = 1,085,646,597.93/27,785.40
  6. Step 6: Final answer
    x = 39,072.56

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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.