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Finding the Fourth Proportional to 95,136.78, 142,713.09 and 31,953.90

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Solution

The fourth proportional to 95,136.78, 142,713.09 and 31,953.90 is: 47,933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,136.78 : 142,713.09 = 31,953.90 : x
  2. Step 2: Convert to fraction form
    95,136.78/142,713.09 = 31,953.90/x
  3. Step 3: Cross multiply
    95,136.78x = 142,713.09 × 31,953.90
  4. Step 4: Simplify right side
    95,136.78x = 4,560,239,806.55
  5. Step 5: Solve for x
    x = 4,560,239,806.55/95,136.78
  6. Step 6: Final answer
    x = 47,933.51

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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.