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Finding the Fourth Proportional to 75,976.90, 104,854.43 and 41,992.02

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Solution

The fourth proportional to 75,976.90, 104,854.43 and 41,992.02 is: 57,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,976.90 : 104,854.43 = 41,992.02 : x
  2. Step 2: Convert to fraction form
    75,976.90/104,854.43 = 41,992.02/x
  3. Step 3: Cross multiply
    75,976.90x = 104,854.43 × 41,992.02
  4. Step 4: Simplify right side
    75,976.90x = 4,403,049,321.65
  5. Step 5: Solve for x
    x = 4,403,049,321.65/75,976.90
  6. Step 6: Final answer
    x = 57,952.48

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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.