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Finding the Fourth Proportional to 34,026.26, 51,049.74 and 17,397.96

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Solution

The fourth proportional to 34,026.26, 51,049.74 and 17,397.96 is: 26,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,026.26 : 51,049.74 = 17,397.96 : x
  2. Step 2: Convert to fraction form
    34,026.26/51,049.74 = 17,397.96/x
  3. Step 3: Cross multiply
    34,026.26x = 51,049.74 × 17,397.96
  4. Step 4: Simplify right side
    34,026.26x = 888,161,208.34
  5. Step 5: Solve for x
    x = 888,161,208.34/34,026.26
  6. Step 6: Final answer
    x = 26,102.23

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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.