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Finding the Fourth Proportional to 49,285, 68,013.78 and 26,929

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Solution

The fourth proportional to 49,285, 68,013.78 and 26,929 is: 37,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,285 : 68,013.78 = 26,929 : x
  2. Step 2: Convert to fraction form
    49,285/68,013.78 = 26,929/x
  3. Step 3: Cross multiply
    49,285x = 68,013.78 × 26,929
  4. Step 4: Simplify right side
    49,285x = 1,831,543,081.62
  5. Step 5: Solve for x
    x = 1,831,543,081.62/49,285
  6. Step 6: Final answer
    x = 37,162.28

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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.