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Finding the Fourth Proportional to 53,378.65, 80,067.93 and 50,131

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Solution

The fourth proportional to 53,378.65, 80,067.93 and 50,131 is: 75,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,378.65 : 80,067.93 = 50,131 : x
  2. Step 2: Convert to fraction form
    53,378.65/80,067.93 = 50,131/x
  3. Step 3: Cross multiply
    53,378.65x = 80,067.93 × 50,131
  4. Step 4: Simplify right side
    53,378.65x = 4,013,885,398.83
  5. Step 5: Solve for x
    x = 4,013,885,398.83/53,378.65
  6. Step 6: Final answer
    x = 75,196.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.