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Finding the Fourth Proportional to 49,330.50, 68,082.77 and 27,824.66

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Solution

The fourth proportional to 49,330.50, 68,082.77 and 27,824.66 is: 38,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,330.50 : 68,082.77 = 27,824.66 : x
  2. Step 2: Convert to fraction form
    49,330.50/68,082.77 = 27,824.66/x
  3. Step 3: Cross multiply
    49,330.50x = 68,082.77 × 27,824.66
  4. Step 4: Simplify right side
    49,330.50x = 1,894,379,927.11
  5. Step 5: Solve for x
    x = 1,894,379,927.11/49,330.50
  6. Step 6: Final answer
    x = 38,401.80

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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.