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Finding the Fourth Proportional to 47,711.10, 65,847.24 and 27,568.02

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Solution

The fourth proportional to 47,711.10, 65,847.24 and 27,568.02 is: 38,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,711.10 : 65,847.24 = 27,568.02 : x
  2. Step 2: Convert to fraction form
    47,711.10/65,847.24 = 27,568.02/x
  3. Step 3: Cross multiply
    47,711.10x = 65,847.24 × 27,568.02
  4. Step 4: Simplify right side
    47,711.10x = 1,815,278,029.26
  5. Step 5: Solve for x
    x = 1,815,278,029.26/47,711.10
  6. Step 6: Final answer
    x = 38,047.29

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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.