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Finding the Fourth Proportional to 65,082.48, 89,813.22 and 36,401.79

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Solution

The fourth proportional to 65,082.48, 89,813.22 and 36,401.79 is: 50,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,082.48 : 89,813.22 = 36,401.79 : x
  2. Step 2: Convert to fraction form
    65,082.48/89,813.22 = 36,401.79/x
  3. Step 3: Cross multiply
    65,082.48x = 89,813.22 × 36,401.79
  4. Step 4: Simplify right side
    65,082.48x = 3,269,361,973.66
  5. Step 5: Solve for x
    x = 3,269,361,973.66/65,082.48
  6. Step 6: Final answer
    x = 50,234.13

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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.