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Finding the Fourth Proportional to 30,177, 41,628.78 and 19,423.80

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Solution

The fourth proportional to 30,177, 41,628.78 and 19,423.80 is: 26,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177 : 41,628.78 = 19,423.80 : x
  2. Step 2: Convert to fraction form
    30,177/41,628.78 = 19,423.80/x
  3. Step 3: Cross multiply
    30,177x = 41,628.78 × 19,423.80
  4. Step 4: Simplify right side
    30,177x = 808,589,096.96
  5. Step 5: Solve for x
    x = 808,589,096.96/30,177
  6. Step 6: Final answer
    x = 26,794.88

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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.