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Finding the Fourth Proportional to 51,034.44, 76,553.10 and 14,098.44

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Solution

The fourth proportional to 51,034.44, 76,553.10 and 14,098.44 is: 21,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,034.44 : 76,553.10 = 14,098.44 : x
  2. Step 2: Convert to fraction form
    51,034.44/76,553.10 = 14,098.44/x
  3. Step 3: Cross multiply
    51,034.44x = 76,553.10 × 14,098.44
  4. Step 4: Simplify right side
    51,034.44x = 1,079,279,287.16
  5. Step 5: Solve for x
    x = 1,079,279,287.16/51,034.44
  6. Step 6: Final answer
    x = 21,148.06

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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.