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Finding the Fourth Proportional to 34,054.72, 51,080.76 and 17,414.56

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Solution

The fourth proportional to 34,054.72, 51,080.76 and 17,414.56 is: 26,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,054.72 : 51,080.76 = 17,414.56 : x
  2. Step 2: Convert to fraction form
    34,054.72/51,080.76 = 17,414.56/x
  3. Step 3: Cross multiply
    34,054.72x = 51,080.76 × 17,414.56
  4. Step 4: Simplify right side
    34,054.72x = 889,548,959.87
  5. Step 5: Solve for x
    x = 889,548,959.87/34,054.72
  6. Step 6: Final answer
    x = 26,121.16

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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.