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Finding the Fourth Proportional to 84,564, 116,698.32 and 46,843.92

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Solution

The fourth proportional to 84,564, 116,698.32 and 46,843.92 is: 64,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,564 : 116,698.32 = 46,843.92 : x
  2. Step 2: Convert to fraction form
    84,564/116,698.32 = 46,843.92/x
  3. Step 3: Cross multiply
    84,564x = 116,698.32 × 46,843.92
  4. Step 4: Simplify right side
    84,564x = 5,466,606,766.21
  5. Step 5: Solve for x
    x = 5,466,606,766.21/84,564
  6. Step 6: Final answer
    x = 64,644.61

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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.