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Finding the Fourth Proportional to 111,284.82, 166,927.52 and 32,400.94

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Solution

The fourth proportional to 111,284.82, 166,927.52 and 32,400.94 is: 48,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,284.82 : 166,927.52 = 32,400.94 : x
  2. Step 2: Convert to fraction form
    111,284.82/166,927.52 = 32,400.94/x
  3. Step 3: Cross multiply
    111,284.82x = 166,927.52 × 32,400.94
  4. Step 4: Simplify right side
    111,284.82x = 5,408,608,559.87
  5. Step 5: Solve for x
    x = 5,408,608,559.87/111,284.82
  6. Step 6: Final answer
    x = 48,601.49

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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.