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Finding the Fourth Proportional to 111,052.11, 166,578.17 and 32,166.37

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Solution

The fourth proportional to 111,052.11, 166,578.17 and 32,166.37 is: 48,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,052.11 : 166,578.17 = 32,166.37 : x
  2. Step 2: Convert to fraction form
    111,052.11/166,578.17 = 32,166.37/x
  3. Step 3: Cross multiply
    111,052.11x = 166,578.17 × 32,166.37
  4. Step 4: Simplify right side
    111,052.11x = 5,358,214,341.47
  5. Step 5: Solve for x
    x = 5,358,214,341.47/111,052.11
  6. Step 6: Final answer
    x = 48,249.55

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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.