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Finding the Fourth Proportional to 73,442.96, 110,213.70 and 47,166.15

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Solution

The fourth proportional to 73,442.96, 110,213.70 and 47,166.15 is: 70,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,442.96 : 110,213.70 = 47,166.15 : x
  2. Step 2: Convert to fraction form
    73,442.96/110,213.70 = 47,166.15/x
  3. Step 3: Cross multiply
    73,442.96x = 110,213.70 × 47,166.15
  4. Step 4: Simplify right side
    73,442.96x = 5,198,355,906.26
  5. Step 5: Solve for x
    x = 5,198,355,906.26/73,442.96
  6. Step 6: Final answer
    x = 70,780.86

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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.