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Finding the Fourth Proportional to 35,786.73, 53,682.92 and 9,491.48

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Solution

The fourth proportional to 35,786.73, 53,682.92 and 9,491.48 is: 14,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,786.73 : 53,682.92 = 9,491.48 : x
  2. Step 2: Convert to fraction form
    35,786.73/53,682.92 = 9,491.48/x
  3. Step 3: Cross multiply
    35,786.73x = 53,682.92 × 9,491.48
  4. Step 4: Simplify right side
    35,786.73x = 509,530,282.55
  5. Step 5: Solve for x
    x = 509,530,282.55/35,786.73
  6. Step 6: Final answer
    x = 14,237.97

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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.