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Finding the Fourth Proportional to 111,333.64, 166,964.82 and 36,433.48

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Solution

The fourth proportional to 111,333.64, 166,964.82 and 36,433.48 is: 54,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,333.64 : 166,964.82 = 36,433.48 : x
  2. Step 2: Convert to fraction form
    111,333.64/166,964.82 = 36,433.48/x
  3. Step 3: Cross multiply
    111,333.64x = 166,964.82 × 36,433.48
  4. Step 4: Simplify right side
    111,333.64x = 6,083,109,430.17
  5. Step 5: Solve for x
    x = 6,083,109,430.17/111,333.64
  6. Step 6: Final answer
    x = 54,638.56

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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.