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Finding the Fourth Proportional to 65,107.41, 89,847.05 and 36,812.49

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Solution

The fourth proportional to 65,107.41, 89,847.05 and 36,812.49 is: 50,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,107.41 : 89,847.05 = 36,812.49 : x
  2. Step 2: Convert to fraction form
    65,107.41/89,847.05 = 36,812.49/x
  3. Step 3: Cross multiply
    65,107.41x = 89,847.05 × 36,812.49
  4. Step 4: Simplify right side
    65,107.41x = 3,307,493,629.65
  5. Step 5: Solve for x
    x = 3,307,493,629.65/65,107.41
  6. Step 6: Final answer
    x = 50,800.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.