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Finding the Fourth Proportional to 65,197.50, 89,978.25 and 36,516.69

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Solution

The fourth proportional to 65,197.50, 89,978.25 and 36,516.69 is: 50,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.50 : 89,978.25 = 36,516.69 : x
  2. Step 2: Convert to fraction form
    65,197.50/89,978.25 = 36,516.69/x
  3. Step 3: Cross multiply
    65,197.50x = 89,978.25 × 36,516.69
  4. Step 4: Simplify right side
    65,197.50x = 3,285,707,861.99
  5. Step 5: Solve for x
    x = 3,285,707,861.99/65,197.50
  6. Step 6: Final answer
    x = 50,396.22

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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.