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Finding the Fourth Proportional to 50,114, 69,157.32 and 27,759.44

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Solution

The fourth proportional to 50,114, 69,157.32 and 27,759.44 is: 38,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,114 : 69,157.32 = 27,759.44 : x
  2. Step 2: Convert to fraction form
    50,114/69,157.32 = 27,759.44/x
  3. Step 3: Cross multiply
    50,114x = 69,157.32 × 27,759.44
  4. Step 4: Simplify right side
    50,114x = 1,919,768,475.10
  5. Step 5: Solve for x
    x = 1,919,768,475.10/50,114
  6. Step 6: Final answer
    x = 38,308.03

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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.