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Finding the Fourth Proportional to 34,273.64, 51,405.98 and 10,900.20

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Solution

The fourth proportional to 34,273.64, 51,405.98 and 10,900.20 is: 16,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,273.64 : 51,405.98 = 10,900.20 : x
  2. Step 2: Convert to fraction form
    34,273.64/51,405.98 = 10,900.20/x
  3. Step 3: Cross multiply
    34,273.64x = 51,405.98 × 10,900.20
  4. Step 4: Simplify right side
    34,273.64x = 560,335,463.20
  5. Step 5: Solve for x
    x = 560,335,463.20/34,273.64
  6. Step 6: Final answer
    x = 16,348.88

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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.