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Finding the Fourth Proportional to 27,854.69, 41,733.41 and 23,204.57

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Solution

The fourth proportional to 27,854.69, 41,733.41 and 23,204.57 is: 34,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854.69 : 41,733.41 = 23,204.57 : x
  2. Step 2: Convert to fraction form
    27,854.69/41,733.41 = 23,204.57/x
  3. Step 3: Cross multiply
    27,854.69x = 41,733.41 × 23,204.57
  4. Step 4: Simplify right side
    27,854.69x = 968,405,508.99
  5. Step 5: Solve for x
    x = 968,405,508.99/27,854.69
  6. Step 6: Final answer
    x = 34,766.34

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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.