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Finding the Fourth Proportional to 39,647.38, 54,713.46 and 21,742.51

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Solution

The fourth proportional to 39,647.38, 54,713.46 and 21,742.51 is: 30,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,647.38 : 54,713.46 = 21,742.51 : x
  2. Step 2: Convert to fraction form
    39,647.38/54,713.46 = 21,742.51/x
  3. Step 3: Cross multiply
    39,647.38x = 54,713.46 × 21,742.51
  4. Step 4: Simplify right side
    39,647.38x = 1,189,607,951.18
  5. Step 5: Solve for x
    x = 1,189,607,951.18/39,647.38
  6. Step 6: Final answer
    x = 30,004.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.