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Finding the Fourth Proportional to 34,939.47, 48,214.03 and 19,832.44

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Solution

The fourth proportional to 34,939.47, 48,214.03 and 19,832.44 is: 27,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,939.47 : 48,214.03 = 19,832.44 : x
  2. Step 2: Convert to fraction form
    34,939.47/48,214.03 = 19,832.44/x
  3. Step 3: Cross multiply
    34,939.47x = 48,214.03 × 19,832.44
  4. Step 4: Simplify right side
    34,939.47x = 956,201,757.97
  5. Step 5: Solve for x
    x = 956,201,757.97/34,939.47
  6. Step 6: Final answer
    x = 27,367.38

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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.