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Finding the Fourth Proportional to 96,626.12, 144,949.12 and 33,446.16

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Solution

The fourth proportional to 96,626.12, 144,949.12 and 33,446.16 is: 50,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,626.12 : 144,949.12 = 33,446.16 : x
  2. Step 2: Convert to fraction form
    96,626.12/144,949.12 = 33,446.16/x
  3. Step 3: Cross multiply
    96,626.12x = 144,949.12 × 33,446.16
  4. Step 4: Simplify right side
    96,626.12x = 4,847,991,459.38
  5. Step 5: Solve for x
    x = 4,847,991,459.38/96,626.12
  6. Step 6: Final answer
    x = 50,172.68

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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.