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Finding the Fourth Proportional to 34,964.82, 48,251.49 and 19,049.31

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Solution

The fourth proportional to 34,964.82, 48,251.49 and 19,049.31 is: 26,288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,964.82 : 48,251.49 = 19,049.31 : x
  2. Step 2: Convert to fraction form
    34,964.82/48,251.49 = 19,049.31/x
  3. Step 3: Cross multiply
    34,964.82x = 48,251.49 × 19,049.31
  4. Step 4: Simplify right side
    34,964.82x = 919,157,590.97
  5. Step 5: Solve for x
    x = 919,157,590.97/34,964.82
  6. Step 6: Final answer
    x = 26,288.07

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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.