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Finding the Fourth Proportional to 84,085, 116,037.30 and 46,360.04

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Solution

The fourth proportional to 84,085, 116,037.30 and 46,360.04 is: 63,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,085 : 116,037.30 = 46,360.04 : x
  2. Step 2: Convert to fraction form
    84,085/116,037.30 = 46,360.04/x
  3. Step 3: Cross multiply
    84,085x = 116,037.30 × 46,360.04
  4. Step 4: Simplify right side
    84,085x = 5,379,493,869.49
  5. Step 5: Solve for x
    x = 5,379,493,869.49/84,085
  6. Step 6: Final answer
    x = 63,976.86

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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.