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Finding the Fourth Proportional to 81,733.48, 122,755.74 and 50,785

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Solution

The fourth proportional to 81,733.48, 122,755.74 and 50,785 is: 76,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,733.48 : 122,755.74 = 50,785 : x
  2. Step 2: Convert to fraction form
    81,733.48/122,755.74 = 50,785/x
  3. Step 3: Cross multiply
    81,733.48x = 122,755.74 × 50,785
  4. Step 4: Simplify right side
    81,733.48x = 6,234,150,255.90
  5. Step 5: Solve for x
    x = 6,234,150,255.90/81,733.48
  6. Step 6: Final answer
    x = 76,274.13

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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.