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Finding the Fourth Proportional to 55,234.52, 76,224.44 and 30,084

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Solution

The fourth proportional to 55,234.52, 76,224.44 and 30,084 is: 41,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,234.52 : 76,224.44 = 30,084 : x
  2. Step 2: Convert to fraction form
    55,234.52/76,224.44 = 30,084/x
  3. Step 3: Cross multiply
    55,234.52x = 76,224.44 × 30,084
  4. Step 4: Simplify right side
    55,234.52x = 2,293,136,052.96
  5. Step 5: Solve for x
    x = 2,293,136,052.96/55,234.52
  6. Step 6: Final answer
    x = 41,516.36

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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.