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Finding the Fourth Proportional to 34,018.96, 51,029.40 and 9,394.96

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Solution

The fourth proportional to 34,018.96, 51,029.40 and 9,394.96 is: 14,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,018.96 : 51,029.40 = 9,394.96 : x
  2. Step 2: Convert to fraction form
    34,018.96/51,029.40 = 9,394.96/x
  3. Step 3: Cross multiply
    34,018.96x = 51,029.40 × 9,394.96
  4. Step 4: Simplify right side
    34,018.96x = 479,419,171.82
  5. Step 5: Solve for x
    x = 479,419,171.82/34,018.96
  6. Step 6: Final answer
    x = 14,092.71

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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.