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Finding the Fourth Proportional to 49,633.50, 74,406.50 and 18,446.88

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Solution

The fourth proportional to 49,633.50, 74,406.50 and 18,446.88 is: 27,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,633.50 : 74,406.50 = 18,446.88 : x
  2. Step 2: Convert to fraction form
    49,633.50/74,406.50 = 18,446.88/x
  3. Step 3: Cross multiply
    49,633.50x = 74,406.50 × 18,446.88
  4. Step 4: Simplify right side
    49,633.50x = 1,372,567,776.72
  5. Step 5: Solve for x
    x = 1,372,567,776.72/49,633.50
  6. Step 6: Final answer
    x = 27,654.06

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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.