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Finding the Fourth Proportional to 84,717.62, 116,908.53 and 46,991.54

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Solution

The fourth proportional to 84,717.62, 116,908.53 and 46,991.54 is: 64,847.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,717.62 : 116,908.53 = 46,991.54 : x
  2. Step 2: Convert to fraction form
    84,717.62/116,908.53 = 46,991.54/x
  3. Step 3: Cross multiply
    84,717.62x = 116,908.53 × 46,991.54
  4. Step 4: Simplify right side
    84,717.62x = 5,493,711,863.84
  5. Step 5: Solve for x
    x = 5,493,711,863.84/84,717.62
  6. Step 6: Final answer
    x = 64,847.33

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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.