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Finding the Fourth Proportional to 34,777.94, 47,986.17 and 20,635.38

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Solution

The fourth proportional to 34,777.94, 47,986.17 and 20,635.38 is: 28,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,777.94 : 47,986.17 = 20,635.38 : x
  2. Step 2: Convert to fraction form
    34,777.94/47,986.17 = 20,635.38/x
  3. Step 3: Cross multiply
    34,777.94x = 47,986.17 × 20,635.38
  4. Step 4: Simplify right side
    34,777.94x = 990,212,852.69
  5. Step 5: Solve for x
    x = 990,212,852.69/34,777.94
  6. Step 6: Final answer
    x = 28,472.44

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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.