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Finding the Fourth Proportional to 34,138.88, 51,217.44 and 10,765.76

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Solution

The fourth proportional to 34,138.88, 51,217.44 and 10,765.76 is: 16,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.88 : 51,217.44 = 10,765.76 : x
  2. Step 2: Convert to fraction form
    34,138.88/51,217.44 = 10,765.76/x
  3. Step 3: Cross multiply
    34,138.88x = 51,217.44 × 10,765.76
  4. Step 4: Simplify right side
    34,138.88x = 551,394,666.85
  5. Step 5: Solve for x
    x = 551,394,666.85/34,138.88
  6. Step 6: Final answer
    x = 16,151.52

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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.