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Finding the Fourth Proportional to 34,138.67, 51,208.43 and 14,431.10

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Solution

The fourth proportional to 34,138.67, 51,208.43 and 14,431.10 is: 21,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.67 : 51,208.43 = 14,431.10 : x
  2. Step 2: Convert to fraction form
    34,138.67/51,208.43 = 14,431.10/x
  3. Step 3: Cross multiply
    34,138.67x = 51,208.43 × 14,431.10
  4. Step 4: Simplify right side
    34,138.67x = 738,993,645.98
  5. Step 5: Solve for x
    x = 738,993,645.98/34,138.67
  6. Step 6: Final answer
    x = 21,646.82

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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.