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Finding the Fourth Proportional to 55,178.50, 76,146.60 and 30,028

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Solution

The fourth proportional to 55,178.50, 76,146.60 and 30,028 is: 41,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,178.50 : 76,146.60 = 30,028 : x
  2. Step 2: Convert to fraction form
    55,178.50/76,146.60 = 30,028/x
  3. Step 3: Cross multiply
    55,178.50x = 76,146.60 × 30,028
  4. Step 4: Simplify right side
    55,178.50x = 2,286,530,104.80
  5. Step 5: Solve for x
    x = 2,286,530,104.80/55,178.50
  6. Step 6: Final answer
    x = 41,438.79

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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.