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Finding the Fourth Proportional to 49,006.50, 67,629.21 and 26,650.50

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Solution

The fourth proportional to 49,006.50, 67,629.21 and 26,650.50 is: 36,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,006.50 : 67,629.21 = 26,650.50 : x
  2. Step 2: Convert to fraction form
    49,006.50/67,629.21 = 26,650.50/x
  3. Step 3: Cross multiply
    49,006.50x = 67,629.21 × 26,650.50
  4. Step 4: Simplify right side
    49,006.50x = 1,802,352,261.11
  5. Step 5: Solve for x
    x = 1,802,352,261.11/49,006.50
  6. Step 6: Final answer
    x = 36,777.82

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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.