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Finding the Fourth Proportional to 49,013.48, 73,507.26 and 21,305

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Solution

The fourth proportional to 49,013.48, 73,507.26 and 21,305 is: 31,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,013.48 : 73,507.26 = 21,305 : x
  2. Step 2: Convert to fraction form
    49,013.48/73,507.26 = 21,305/x
  3. Step 3: Cross multiply
    49,013.48x = 73,507.26 × 21,305
  4. Step 4: Simplify right side
    49,013.48x = 1,566,072,174.30
  5. Step 5: Solve for x
    x = 1,566,072,174.30/49,013.48
  6. Step 6: Final answer
    x = 31,951.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.