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Finding the Fourth Proportional to 34,114.25, 51,171 and 13,337.57

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Solution

The fourth proportional to 34,114.25, 51,171 and 13,337.57 is: 20,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114.25 : 51,171 = 13,337.57 : x
  2. Step 2: Convert to fraction form
    34,114.25/51,171 = 13,337.57/x
  3. Step 3: Cross multiply
    34,114.25x = 51,171 × 13,337.57
  4. Step 4: Simplify right side
    34,114.25x = 682,496,794.47
  5. Step 5: Solve for x
    x = 682,496,794.47/34,114.25
  6. Step 6: Final answer
    x = 20,006.21

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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.