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Finding the Fourth Proportional to 34,189, 51,285.06 and 10,494.82

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Solution

The fourth proportional to 34,189, 51,285.06 and 10,494.82 is: 15,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,189 : 51,285.06 = 10,494.82 : x
  2. Step 2: Convert to fraction form
    34,189/51,285.06 = 10,494.82/x
  3. Step 3: Cross multiply
    34,189x = 51,285.06 × 10,494.82
  4. Step 4: Simplify right side
    34,189x = 538,227,473.39
  5. Step 5: Solve for x
    x = 538,227,473.39/34,189
  6. Step 6: Final answer
    x = 15,742.71

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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.