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Finding the Fourth Proportional to 65,672.46, 98,524.26 and 21,299.22

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Solution

The fourth proportional to 65,672.46, 98,524.26 and 21,299.22 is: 31,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,672.46 : 98,524.26 = 21,299.22 : x
  2. Step 2: Convert to fraction form
    65,672.46/98,524.26 = 21,299.22/x
  3. Step 3: Cross multiply
    65,672.46x = 98,524.26 × 21,299.22
  4. Step 4: Simplify right side
    65,672.46x = 2,098,489,889.08
  5. Step 5: Solve for x
    x = 2,098,489,889.08/65,672.46
  6. Step 6: Final answer
    x = 31,953.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.