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Finding the Fourth Proportional to 34,175.27, 51,275.21 and 11,992.10

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Solution

The fourth proportional to 34,175.27, 51,275.21 and 11,992.10 is: 17,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,175.27 : 51,275.21 = 11,992.10 : x
  2. Step 2: Convert to fraction form
    34,175.27/51,275.21 = 11,992.10/x
  3. Step 3: Cross multiply
    34,175.27x = 51,275.21 × 11,992.10
  4. Step 4: Simplify right side
    34,175.27x = 614,897,445.84
  5. Step 5: Solve for x
    x = 614,897,445.84/34,175.27
  6. Step 6: Final answer
    x = 17,992.47

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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.