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Finding the Fourth Proportional to 97,568.96, 146,370.14 and 33,524.04

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Solution

The fourth proportional to 97,568.96, 146,370.14 and 33,524.04 is: 50,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,568.96 : 146,370.14 = 33,524.04 : x
  2. Step 2: Convert to fraction form
    97,568.96/146,370.14 = 33,524.04/x
  3. Step 3: Cross multiply
    97,568.96x = 146,370.14 × 33,524.04
  4. Step 4: Simplify right side
    97,568.96x = 4,906,918,260.55
  5. Step 5: Solve for x
    x = 4,906,918,260.55/97,568.96
  6. Step 6: Final answer
    x = 50,291.80

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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.