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Finding the Fourth Proportional to 49,179.30, 67,867.11 and 27,958.57

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Solution

The fourth proportional to 49,179.30, 67,867.11 and 27,958.57 is: 38,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,179.30 : 67,867.11 = 27,958.57 : x
  2. Step 2: Convert to fraction form
    49,179.30/67,867.11 = 27,958.57/x
  3. Step 3: Cross multiply
    49,179.30x = 67,867.11 × 27,958.57
  4. Step 4: Simplify right side
    49,179.30x = 1,897,467,345.63
  5. Step 5: Solve for x
    x = 1,897,467,345.63/49,179.30
  6. Step 6: Final answer
    x = 38,582.64

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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.