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Finding the Fourth Proportional to 49,317, 68,057.46 and 26,961

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Solution

The fourth proportional to 49,317, 68,057.46 and 26,961 is: 37,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,317 : 68,057.46 = 26,961 : x
  2. Step 2: Convert to fraction form
    49,317/68,057.46 = 26,961/x
  3. Step 3: Cross multiply
    49,317x = 68,057.46 × 26,961
  4. Step 4: Simplify right side
    49,317x = 1,834,897,179.06
  5. Step 5: Solve for x
    x = 1,834,897,179.06/49,317
  6. Step 6: Final answer
    x = 37,206.18

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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.