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Finding the Fourth Proportional to 49,707.46, 74,558.70 and 18,540.28

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Solution

The fourth proportional to 49,707.46, 74,558.70 and 18,540.28 is: 27,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,707.46 : 74,558.70 = 18,540.28 : x
  2. Step 2: Convert to fraction form
    49,707.46/74,558.70 = 18,540.28/x
  3. Step 3: Cross multiply
    49,707.46x = 74,558.70 × 18,540.28
  4. Step 4: Simplify right side
    49,707.46x = 1,382,339,174.44
  5. Step 5: Solve for x
    x = 1,382,339,174.44/49,707.46
  6. Step 6: Final answer
    x = 27,809.49

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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.