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Finding the Fourth Proportional to 49,904, 68,867.54 and 27,548

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Solution

The fourth proportional to 49,904, 68,867.54 and 27,548 is: 38,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,904 : 68,867.54 = 27,548 : x
  2. Step 2: Convert to fraction form
    49,904/68,867.54 = 27,548/x
  3. Step 3: Cross multiply
    49,904x = 68,867.54 × 27,548
  4. Step 4: Simplify right side
    49,904x = 1,897,162,991.92
  5. Step 5: Solve for x
    x = 1,897,162,991.92/49,904
  6. Step 6: Final answer
    x = 38,016.25

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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.