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Finding the Fourth Proportional to 78,974.38, 108,914.07 and 65,524.33

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Solution

The fourth proportional to 78,974.38, 108,914.07 and 65,524.33 is: 90,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,974.38 : 108,914.07 = 65,524.33 : x
  2. Step 2: Convert to fraction form
    78,974.38/108,914.07 = 65,524.33/x
  3. Step 3: Cross multiply
    78,974.38x = 108,914.07 × 65,524.33
  4. Step 4: Simplify right side
    78,974.38x = 7,136,521,464.32
  5. Step 5: Solve for x
    x = 7,136,521,464.32/78,974.38
  6. Step 6: Final answer
    x = 90,365.02

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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.