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Finding the Fourth Proportional to 47,727.72, 65,860.92 and 27,568.80

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Solution

The fourth proportional to 47,727.72, 65,860.92 and 27,568.80 is: 38,043.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,727.72 : 65,860.92 = 27,568.80 : x
  2. Step 2: Convert to fraction form
    47,727.72/65,860.92 = 27,568.80/x
  3. Step 3: Cross multiply
    47,727.72x = 65,860.92 × 27,568.80
  4. Step 4: Simplify right side
    47,727.72x = 1,815,706,531.30
  5. Step 5: Solve for x
    x = 1,815,706,531.30/47,727.72
  6. Step 6: Final answer
    x = 38,043.02

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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.