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Finding the Fourth Proportional to 34,135.75, 51,212.27 and 9,511.75

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Solution

The fourth proportional to 34,135.75, 51,212.27 and 9,511.75 is: 14,270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,135.75 : 51,212.27 = 9,511.75 : x
  2. Step 2: Convert to fraction form
    34,135.75/51,212.27 = 9,511.75/x
  3. Step 3: Cross multiply
    34,135.75x = 51,212.27 × 9,511.75
  4. Step 4: Simplify right side
    34,135.75x = 487,118,261.61
  5. Step 5: Solve for x
    x = 487,118,261.61/34,135.75
  6. Step 6: Final answer
    x = 14,270.03

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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.