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Finding the Fourth Proportional to 49,464, 68,260.32 and 27,108

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Solution

The fourth proportional to 49,464, 68,260.32 and 27,108 is: 37,409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,464 : 68,260.32 = 27,108 : x
  2. Step 2: Convert to fraction form
    49,464/68,260.32 = 27,108/x
  3. Step 3: Cross multiply
    49,464x = 68,260.32 × 27,108
  4. Step 4: Simplify right side
    49,464x = 1,850,400,754.56
  5. Step 5: Solve for x
    x = 1,850,400,754.56/49,464
  6. Step 6: Final answer
    x = 37,409.04

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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.