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Finding the Fourth Proportional to 49,005, 67,626.90 and 26,649

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Solution

The fourth proportional to 49,005, 67,626.90 and 26,649 is: 36,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,005 : 67,626.90 = 26,649 : x
  2. Step 2: Convert to fraction form
    49,005/67,626.90 = 26,649/x
  3. Step 3: Cross multiply
    49,005x = 67,626.90 × 26,649
  4. Step 4: Simplify right side
    49,005x = 1,802,189,258.10
  5. Step 5: Solve for x
    x = 1,802,189,258.10/49,005
  6. Step 6: Final answer
    x = 36,775.62

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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.