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Finding the Fourth Proportional to 111,333.14, 166,964.07 and 36,432.98

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Solution

The fourth proportional to 111,333.14, 166,964.07 and 36,432.98 is: 54,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,333.14 : 166,964.07 = 36,432.98 : x
  2. Step 2: Convert to fraction form
    111,333.14/166,964.07 = 36,432.98/x
  3. Step 3: Cross multiply
    111,333.14x = 166,964.07 × 36,432.98
  4. Step 4: Simplify right side
    111,333.14x = 6,082,998,623.03
  5. Step 5: Solve for x
    x = 6,082,998,623.03/111,333.14
  6. Step 6: Final answer
    x = 54,637.81

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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.