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Finding the Fourth Proportional to 84,219.75, 116,223.48 and 46,494

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Solution

The fourth proportional to 84,219.75, 116,223.48 and 46,494 is: 64,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,219.75 : 116,223.48 = 46,494 : x
  2. Step 2: Convert to fraction form
    84,219.75/116,223.48 = 46,494/x
  3. Step 3: Cross multiply
    84,219.75x = 116,223.48 × 46,494
  4. Step 4: Simplify right side
    84,219.75x = 5,403,694,479.12
  5. Step 5: Solve for x
    x = 5,403,694,479.12/84,219.75
  6. Step 6: Final answer
    x = 64,161.84

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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.