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Finding the Fourth Proportional to 65,806, 90,814.44 and 35,998

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Solution

The fourth proportional to 65,806, 90,814.44 and 35,998 is: 49,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,806 : 90,814.44 = 35,998 : x
  2. Step 2: Convert to fraction form
    65,806/90,814.44 = 35,998/x
  3. Step 3: Cross multiply
    65,806x = 90,814.44 × 35,998
  4. Step 4: Simplify right side
    65,806x = 3,269,138,211.12
  5. Step 5: Solve for x
    x = 3,269,138,211.12/65,806
  6. Step 6: Final answer
    x = 49,678.42

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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.