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Finding the Fourth Proportional to 111,097.44, 166,670.64 and 32,214.96

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Solution

The fourth proportional to 111,097.44, 166,670.64 and 32,214.96 is: 48,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,097.44 : 166,670.64 = 32,214.96 : x
  2. Step 2: Convert to fraction form
    111,097.44/166,670.64 = 32,214.96/x
  3. Step 3: Cross multiply
    111,097.44x = 166,670.64 × 32,214.96
  4. Step 4: Simplify right side
    111,097.44x = 5,369,288,000.77
  5. Step 5: Solve for x
    x = 5,369,288,000.77/111,097.44
  6. Step 6: Final answer
    x = 48,329.54

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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.