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Finding the Fourth Proportional to 65,922.38, 90,989.16 and 37,644.48

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Solution

The fourth proportional to 65,922.38, 90,989.16 and 37,644.48 is: 51,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,922.38 : 90,989.16 = 37,644.48 : x
  2. Step 2: Convert to fraction form
    65,922.38/90,989.16 = 37,644.48/x
  3. Step 3: Cross multiply
    65,922.38x = 90,989.16 × 37,644.48
  4. Step 4: Simplify right side
    65,922.38x = 3,425,239,613.84
  5. Step 5: Solve for x
    x = 3,425,239,613.84/65,922.38
  6. Step 6: Final answer
    x = 51,958.68

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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.