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Finding the Fourth Proportional to 26,754.31, 40,131.65 and 8,034.49

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Solution

The fourth proportional to 26,754.31, 40,131.65 and 8,034.49 is: 12,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,754.31 : 40,131.65 = 8,034.49 : x
  2. Step 2: Convert to fraction form
    26,754.31/40,131.65 = 8,034.49/x
  3. Step 3: Cross multiply
    26,754.31x = 40,131.65 × 8,034.49
  4. Step 4: Simplify right side
    26,754.31x = 322,437,340.61
  5. Step 5: Solve for x
    x = 322,437,340.61/26,754.31
  6. Step 6: Final answer
    x = 12,051.79

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Why These Related Problems?

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