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Finding the Fourth Proportional to 65,494.98, 90,394.01 and 38,644.14

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Solution

The fourth proportional to 65,494.98, 90,394.01 and 38,644.14 is: 53,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,494.98 : 90,394.01 = 38,644.14 : x
  2. Step 2: Convert to fraction form
    65,494.98/90,394.01 = 38,644.14/x
  3. Step 3: Cross multiply
    65,494.98x = 90,394.01 × 38,644.14
  4. Step 4: Simplify right side
    65,494.98x = 3,493,198,777.60
  5. Step 5: Solve for x
    x = 3,493,198,777.60/65,494.98
  6. Step 6: Final answer
    x = 53,335.37

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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.