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Finding the Fourth Proportional to 76,694.52, 105,843.24 and 46,482.48

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Solution

The fourth proportional to 76,694.52, 105,843.24 and 46,482.48 is: 64,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,694.52 : 105,843.24 = 46,482.48 : x
  2. Step 2: Convert to fraction form
    76,694.52/105,843.24 = 46,482.48/x
  3. Step 3: Cross multiply
    76,694.52x = 105,843.24 × 46,482.48
  4. Step 4: Simplify right side
    76,694.52x = 4,919,856,286.44
  5. Step 5: Solve for x
    x = 4,919,856,286.44/76,694.52
  6. Step 6: Final answer
    x = 64,148.73

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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.