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Finding the Fourth Proportional to 34,175.20, 51,268.20 and 13,114.42

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Solution

The fourth proportional to 34,175.20, 51,268.20 and 13,114.42 is: 19,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,175.20 : 51,268.20 = 13,114.42 : x
  2. Step 2: Convert to fraction form
    34,175.20/51,268.20 = 13,114.42/x
  3. Step 3: Cross multiply
    34,175.20x = 51,268.20 × 13,114.42
  4. Step 4: Simplify right side
    34,175.20x = 672,352,707.44
  5. Step 5: Solve for x
    x = 672,352,707.44/34,175.20
  6. Step 6: Final answer
    x = 19,673.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.