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Finding the Fourth Proportional to 34,137.95, 51,171.72 and 13,072.23

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Solution

The fourth proportional to 34,137.95, 51,171.72 and 13,072.23 is: 19,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,137.95 : 51,171.72 = 13,072.23 : x
  2. Step 2: Convert to fraction form
    34,137.95/51,171.72 = 13,072.23/x
  3. Step 3: Cross multiply
    34,137.95x = 51,171.72 × 13,072.23
  4. Step 4: Simplify right side
    34,137.95x = 668,928,493.34
  5. Step 5: Solve for x
    x = 668,928,493.34/34,137.95
  6. Step 6: Final answer
    x = 19,594.87

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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.