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Finding the Fourth Proportional to 65,229.67, 97,882.14 and 35,244

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Solution

The fourth proportional to 65,229.67, 97,882.14 and 35,244 is: 52,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,229.67 : 97,882.14 = 35,244 : x
  2. Step 2: Convert to fraction form
    65,229.67/97,882.14 = 35,244/x
  3. Step 3: Cross multiply
    65,229.67x = 97,882.14 × 35,244
  4. Step 4: Simplify right side
    65,229.67x = 3,449,758,142.16
  5. Step 5: Solve for x
    x = 3,449,758,142.16/65,229.67
  6. Step 6: Final answer
    x = 52,886.33

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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.