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Finding the Fourth Proportional to 73,199.82, 109,815.16 and 28,222.32

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Solution

The fourth proportional to 73,199.82, 109,815.16 and 28,222.32 is: 42,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,199.82 : 109,815.16 = 28,222.32 : x
  2. Step 2: Convert to fraction form
    73,199.82/109,815.16 = 28,222.32/x
  3. Step 3: Cross multiply
    73,199.82x = 109,815.16 × 28,222.32
  4. Step 4: Simplify right side
    73,199.82x = 3,099,238,586.37
  5. Step 5: Solve for x
    x = 3,099,238,586.37/73,199.82
  6. Step 6: Final answer
    x = 42,339.43

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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.