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Finding the Fourth Proportional to 50,642.04, 69,884.70 and 27,982.68

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Solution

The fourth proportional to 50,642.04, 69,884.70 and 27,982.68 is: 38,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,642.04 : 69,884.70 = 27,982.68 : x
  2. Step 2: Convert to fraction form
    50,642.04/69,884.70 = 27,982.68/x
  3. Step 3: Cross multiply
    50,642.04x = 69,884.70 × 27,982.68
  4. Step 4: Simplify right side
    50,642.04x = 1,955,561,197.00
  5. Step 5: Solve for x
    x = 1,955,561,197.00/50,642.04
  6. Step 6: Final answer
    x = 38,615.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.