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Finding the Fourth Proportional to 49,006, 67,628.82 and 26,650

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Solution

The fourth proportional to 49,006, 67,628.82 and 26,650 is: 36,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,006 : 67,628.82 = 26,650 : x
  2. Step 2: Convert to fraction form
    49,006/67,628.82 = 26,650/x
  3. Step 3: Cross multiply
    49,006x = 67,628.82 × 26,650
  4. Step 4: Simplify right side
    49,006x = 1,802,308,053.00
  5. Step 5: Solve for x
    x = 1,802,308,053.00/49,006
  6. Step 6: Final answer
    x = 36,777.29

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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.