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Finding the Fourth Proportional to 43,605, 65,431.13 and 33,763.50

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Solution

The fourth proportional to 43,605, 65,431.13 and 33,763.50 is: 50,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,605 : 65,431.13 = 33,763.50 : x
  2. Step 2: Convert to fraction form
    43,605/65,431.13 = 33,763.50/x
  3. Step 3: Cross multiply
    43,605x = 65,431.13 × 33,763.50
  4. Step 4: Simplify right side
    43,605x = 2,209,183,788.94
  5. Step 5: Solve for x
    x = 2,209,183,788.94/43,605
  6. Step 6: Final answer
    x = 50,663.54

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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.