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Finding the Fourth Proportional to 49,362.09, 68,119.68 and 27,856.39

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Solution

The fourth proportional to 49,362.09, 68,119.68 and 27,856.39 is: 38,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,362.09 : 68,119.68 = 27,856.39 : x
  2. Step 2: Convert to fraction form
    49,362.09/68,119.68 = 27,856.39/x
  3. Step 3: Cross multiply
    49,362.09x = 68,119.68 × 27,856.39
  4. Step 4: Simplify right side
    49,362.09x = 1,897,568,434.64
  5. Step 5: Solve for x
    x = 1,897,568,434.64/49,362.09
  6. Step 6: Final answer
    x = 38,441.82

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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.