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Finding the Fourth Proportional to 34,753, 47,959.14 and 19,849

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Solution

The fourth proportional to 34,753, 47,959.14 and 19,849 is: 27,391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,753 : 47,959.14 = 19,849 : x
  2. Step 2: Convert to fraction form
    34,753/47,959.14 = 19,849/x
  3. Step 3: Cross multiply
    34,753x = 47,959.14 × 19,849
  4. Step 4: Simplify right side
    34,753x = 951,940,969.86
  5. Step 5: Solve for x
    x = 951,940,969.86/34,753
  6. Step 6: Final answer
    x = 27,391.62

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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.