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Finding the Fourth Proportional to 49,984.41, 68,978.47 and 27,323.49

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Solution

The fourth proportional to 49,984.41, 68,978.47 and 27,323.49 is: 37,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,984.41 : 68,978.47 = 27,323.49 : x
  2. Step 2: Convert to fraction form
    49,984.41/68,978.47 = 27,323.49/x
  3. Step 3: Cross multiply
    49,984.41x = 68,978.47 × 27,323.49
  4. Step 4: Simplify right side
    49,984.41x = 1,884,732,535.26
  5. Step 5: Solve for x
    x = 1,884,732,535.26/49,984.41
  6. Step 6: Final answer
    x = 37,706.41

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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.