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Finding the Fourth Proportional to 55,481.50, 76,564.74 and 30,331

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Solution

The fourth proportional to 55,481.50, 76,564.74 and 30,331 is: 41,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,481.50 : 76,564.74 = 30,331 : x
  2. Step 2: Convert to fraction form
    55,481.50/76,564.74 = 30,331/x
  3. Step 3: Cross multiply
    55,481.50x = 76,564.74 × 30,331
  4. Step 4: Simplify right side
    55,481.50x = 2,322,285,128.94
  5. Step 5: Solve for x
    x = 2,322,285,128.94/55,481.50
  6. Step 6: Final answer
    x = 41,856.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.