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Finding the Fourth Proportional to 84,383.63, 116,449.11 and 47,586.92

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Solution

The fourth proportional to 84,383.63, 116,449.11 and 47,586.92 is: 65,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,383.63 : 116,449.11 = 47,586.92 : x
  2. Step 2: Convert to fraction form
    84,383.63/116,449.11 = 47,586.92/x
  3. Step 3: Cross multiply
    84,383.63x = 116,449.11 × 47,586.92
  4. Step 4: Simplify right side
    84,383.63x = 5,541,453,899.40
  5. Step 5: Solve for x
    x = 5,541,453,899.40/84,383.63
  6. Step 6: Final answer
    x = 65,669.78

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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.