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Finding the Fourth Proportional to 47,720.47, 65,863.92 and 27,578.20

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Solution

The fourth proportional to 47,720.47, 65,863.92 and 27,578.20 is: 38,063.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,720.47 : 65,863.92 = 27,578.20 : x
  2. Step 2: Convert to fraction form
    47,720.47/65,863.92 = 27,578.20/x
  3. Step 3: Cross multiply
    47,720.47x = 65,863.92 × 27,578.20
  4. Step 4: Simplify right side
    47,720.47x = 1,816,408,358.54
  5. Step 5: Solve for x
    x = 1,816,408,358.54/47,720.47
  6. Step 6: Final answer
    x = 38,063.51

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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.