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Finding the Fourth Proportional to 55,327.50, 76,351.95 and 30,177

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Solution

The fourth proportional to 55,327.50, 76,351.95 and 30,177 is: 41,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,327.50 : 76,351.95 = 30,177 : x
  2. Step 2: Convert to fraction form
    55,327.50/76,351.95 = 30,177/x
  3. Step 3: Cross multiply
    55,327.50x = 76,351.95 × 30,177
  4. Step 4: Simplify right side
    55,327.50x = 2,304,072,795.15
  5. Step 5: Solve for x
    x = 2,304,072,795.15/55,327.50
  6. Step 6: Final answer
    x = 41,644.26

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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.