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Finding the Fourth Proportional to 51,464, 71,022.24 and 29,107.52

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Solution

The fourth proportional to 51,464, 71,022.24 and 29,107.52 is: 40,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,464 : 71,022.24 = 29,107.52 : x
  2. Step 2: Convert to fraction form
    51,464/71,022.24 = 29,107.52/x
  3. Step 3: Cross multiply
    51,464x = 71,022.24 × 29,107.52
  4. Step 4: Simplify right side
    51,464x = 2,067,281,271.24
  5. Step 5: Solve for x
    x = 2,067,281,271.24/51,464
  6. Step 6: Final answer
    x = 40,169.46

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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.