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Finding the Fourth Proportional to 49,982.88, 68,978.23 and 27,323.41

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Solution

The fourth proportional to 49,982.88, 68,978.23 and 27,323.41 is: 37,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,982.88 : 68,978.23 = 27,323.41 : x
  2. Step 2: Convert to fraction form
    49,982.88/68,978.23 = 27,323.41/x
  3. Step 3: Cross multiply
    49,982.88x = 68,978.23 × 27,323.41
  4. Step 4: Simplify right side
    49,982.88x = 1,884,720,459.36
  5. Step 5: Solve for x
    x = 1,884,720,459.36/49,982.88
  6. Step 6: Final answer
    x = 37,707.32

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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.