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Finding the Fourth Proportional to 27,822.45, 41,733.75 and 8,101.49

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Solution

The fourth proportional to 27,822.45, 41,733.75 and 8,101.49 is: 12,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.45 : 41,733.75 = 8,101.49 : x
  2. Step 2: Convert to fraction form
    27,822.45/41,733.75 = 8,101.49/x
  3. Step 3: Cross multiply
    27,822.45x = 41,733.75 × 8,101.49
  4. Step 4: Simplify right side
    27,822.45x = 338,105,558.29
  5. Step 5: Solve for x
    x = 338,105,558.29/27,822.45
  6. Step 6: Final answer
    x = 12,152.26

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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.