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Finding the Fourth Proportional to 55,375.30, 76,416.78 and 30,224.80

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Solution

The fourth proportional to 55,375.30, 76,416.78 and 30,224.80 is: 41,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,375.30 : 76,416.78 = 30,224.80 : x
  2. Step 2: Convert to fraction form
    55,375.30/76,416.78 = 30,224.80/x
  3. Step 3: Cross multiply
    55,375.30x = 76,416.78 × 30,224.80
  4. Step 4: Simplify right side
    55,375.30x = 2,309,681,892.14
  5. Step 5: Solve for x
    x = 2,309,681,892.14/55,375.30
  6. Step 6: Final answer
    x = 41,709.61

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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.