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Finding the Fourth Proportional to 73,672.40, 110,566.20 and 34,234.40

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Solution

The fourth proportional to 73,672.40, 110,566.20 and 34,234.40 is: 51,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,672.40 : 110,566.20 = 34,234.40 : x
  2. Step 2: Convert to fraction form
    73,672.40/110,566.20 = 34,234.40/x
  3. Step 3: Cross multiply
    73,672.40x = 110,566.20 × 34,234.40
  4. Step 4: Simplify right side
    73,672.40x = 3,785,167,517.28
  5. Step 5: Solve for x
    x = 3,785,167,517.28/73,672.40
  6. Step 6: Final answer
    x = 51,378.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.