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Finding the Fourth Proportional to 55,234.72, 76,224 and 30,084.32

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Solution

The fourth proportional to 55,234.72, 76,224 and 30,084.32 is: 41,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,234.72 : 76,224 = 30,084.32 : x
  2. Step 2: Convert to fraction form
    55,234.72/76,224 = 30,084.32/x
  3. Step 3: Cross multiply
    55,234.72x = 76,224 × 30,084.32
  4. Step 4: Simplify right side
    55,234.72x = 2,293,147,207.68
  5. Step 5: Solve for x
    x = 2,293,147,207.68/55,234.72
  6. Step 6: Final answer
    x = 41,516.41

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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.