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Finding the Fourth Proportional to 84,694.85, 116,878.10 and 46,453.61

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Solution

The fourth proportional to 84,694.85, 116,878.10 and 46,453.61 is: 64,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,694.85 : 116,878.10 = 46,453.61 : x
  2. Step 2: Convert to fraction form
    84,694.85/116,878.10 = 46,453.61/x
  3. Step 3: Cross multiply
    84,694.85x = 116,878.10 × 46,453.61
  4. Step 4: Simplify right side
    84,694.85x = 5,429,409,734.87
  5. Step 5: Solve for x
    x = 5,429,409,734.87/84,694.85
  6. Step 6: Final answer
    x = 64,105.55

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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.