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Finding the Fourth Proportional to 49,057.76, 67,709.04 and 27,839

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Solution

The fourth proportional to 49,057.76, 67,709.04 and 27,839 is: 38,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,057.76 : 67,709.04 = 27,839 : x
  2. Step 2: Convert to fraction form
    49,057.76/67,709.04 = 27,839/x
  3. Step 3: Cross multiply
    49,057.76x = 67,709.04 × 27,839
  4. Step 4: Simplify right side
    49,057.76x = 1,884,951,964.56
  5. Step 5: Solve for x
    x = 1,884,951,964.56/49,057.76
  6. Step 6: Final answer
    x = 38,423.12

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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.