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Finding the Fourth Proportional to 84,107.53, 116,067.99 and 46,381.78

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Solution

The fourth proportional to 84,107.53, 116,067.99 and 46,381.78 is: 64,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,107.53 : 116,067.99 = 46,381.78 : x
  2. Step 2: Convert to fraction form
    84,107.53/116,067.99 = 46,381.78/x
  3. Step 3: Cross multiply
    84,107.53x = 116,067.99 × 46,381.78
  4. Step 4: Simplify right side
    84,107.53x = 5,383,440,296.24
  5. Step 5: Solve for x
    x = 5,383,440,296.24/84,107.53
  6. Step 6: Final answer
    x = 64,006.64

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1.5x scale

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.