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Finding the Fourth Proportional to 84,385.92, 116,456.60 and 46,662.60

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Solution

The fourth proportional to 84,385.92, 116,456.60 and 46,662.60 is: 64,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,385.92 : 116,456.60 = 46,662.60 : x
  2. Step 2: Convert to fraction form
    84,385.92/116,456.60 = 46,662.60/x
  3. Step 3: Cross multiply
    84,385.92x = 116,456.60 × 46,662.60
  4. Step 4: Simplify right side
    84,385.92x = 5,434,167,743.16
  5. Step 5: Solve for x
    x = 5,434,167,743.16/84,385.92
  6. Step 6: Final answer
    x = 64,396.62

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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.