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Finding the Fourth Proportional to 49,362.42, 68,118.38 and 27,858.96

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Solution

The fourth proportional to 49,362.42, 68,118.38 and 27,858.96 is: 38,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,362.42 : 68,118.38 = 27,858.96 : x
  2. Step 2: Convert to fraction form
    49,362.42/68,118.38 = 27,858.96/x
  3. Step 3: Cross multiply
    49,362.42x = 68,118.38 × 27,858.96
  4. Step 4: Simplify right side
    49,362.42x = 1,897,707,223.68
  5. Step 5: Solve for x
    x = 1,897,707,223.68/49,362.42
  6. Step 6: Final answer
    x = 38,444.37

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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.