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Finding the Fourth Proportional to 68,102.10, 102,023.55 and 40,367.70

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Solution

The fourth proportional to 68,102.10, 102,023.55 and 40,367.70 is: 60,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,102.10 : 102,023.55 = 40,367.70 : x
  2. Step 2: Convert to fraction form
    68,102.10/102,023.55 = 40,367.70/x
  3. Step 3: Cross multiply
    68,102.10x = 102,023.55 × 40,367.70
  4. Step 4: Simplify right side
    68,102.10x = 4,118,456,059.34
  5. Step 5: Solve for x
    x = 4,118,456,059.34/68,102.10
  6. Step 6: Final answer
    x = 60,474.73

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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.