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Finding the Fourth Proportional to 34,249.10, 47,267.16 and 20,101.64

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Solution

The fourth proportional to 34,249.10, 47,267.16 and 20,101.64 is: 27,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,249.10 : 47,267.16 = 20,101.64 : x
  2. Step 2: Convert to fraction form
    34,249.10/47,267.16 = 20,101.64/x
  3. Step 3: Cross multiply
    34,249.10x = 47,267.16 × 20,101.64
  4. Step 4: Simplify right side
    34,249.10x = 950,147,434.14
  5. Step 5: Solve for x
    x = 950,147,434.14/34,249.10
  6. Step 6: Final answer
    x = 27,742.26

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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.