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Finding the Fourth Proportional to 84,381.75, 116,450.46 and 46,656

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Solution

The fourth proportional to 84,381.75, 116,450.46 and 46,656 is: 64,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,381.75 : 116,450.46 = 46,656 : x
  2. Step 2: Convert to fraction form
    84,381.75/116,450.46 = 46,656/x
  3. Step 3: Cross multiply
    84,381.75x = 116,450.46 × 46,656
  4. Step 4: Simplify right side
    84,381.75x = 5,433,112,661.76
  5. Step 5: Solve for x
    x = 5,433,112,661.76/84,381.75
  6. Step 6: Final answer
    x = 64,387.30

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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.