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Finding the Fourth Proportional to 84,236.48, 116,196 and 50,696

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Solution

The fourth proportional to 84,236.48, 116,196 and 50,696 is: 69,930.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,236.48 : 116,196 = 50,696 : x
  2. Step 2: Convert to fraction form
    84,236.48/116,196 = 50,696/x
  3. Step 3: Cross multiply
    84,236.48x = 116,196 × 50,696
  4. Step 4: Simplify right side
    84,236.48x = 5,890,672,416
  5. Step 5: Solve for x
    x = 5,890,672,416/84,236.48
  6. Step 6: Final answer
    x = 69,930.18

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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.