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Finding the Fourth Proportional to 84,450.38, 116,549.52 and 50,459

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Solution

The fourth proportional to 84,450.38, 116,549.52 and 50,459 is: 69,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,450.38 : 116,549.52 = 50,459 : x
  2. Step 2: Convert to fraction form
    84,450.38/116,549.52 = 50,459/x
  3. Step 3: Cross multiply
    84,450.38x = 116,549.52 × 50,459
  4. Step 4: Simplify right side
    84,450.38x = 5,880,972,229.68
  5. Step 5: Solve for x
    x = 5,880,972,229.68/84,450.38
  6. Step 6: Final answer
    x = 69,638.20

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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.