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Finding the Fourth Proportional to 68,527.20, 102,742.20 and 31,105.20

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Solution

The fourth proportional to 68,527.20, 102,742.20 and 31,105.20 is: 46,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,527.20 : 102,742.20 = 31,105.20 : x
  2. Step 2: Convert to fraction form
    68,527.20/102,742.20 = 31,105.20/x
  3. Step 3: Cross multiply
    68,527.20x = 102,742.20 × 31,105.20
  4. Step 4: Simplify right side
    68,527.20x = 3,195,816,679.44
  5. Step 5: Solve for x
    x = 3,195,816,679.44/68,527.20
  6. Step 6: Final answer
    x = 46,635.74

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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.