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Finding the Fourth Proportional to 71,633.46, 98,860.06 and 46,192.78

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Solution

The fourth proportional to 71,633.46, 98,860.06 and 46,192.78 is: 63,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,633.46 : 98,860.06 = 46,192.78 : x
  2. Step 2: Convert to fraction form
    71,633.46/98,860.06 = 46,192.78/x
  3. Step 3: Cross multiply
    71,633.46x = 98,860.06 × 46,192.78
  4. Step 4: Simplify right side
    71,633.46x = 4,566,621,183.68
  5. Step 5: Solve for x
    x = 4,566,621,183.68/71,633.46
  6. Step 6: Final answer
    x = 63,749.83

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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.