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Finding the Fourth Proportional to 34,134.17, 51,203.82 and 10,760

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Solution

The fourth proportional to 34,134.17, 51,203.82 and 10,760 is: 16,140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,134.17 : 51,203.82 = 10,760 : x
  2. Step 2: Convert to fraction form
    34,134.17/51,203.82 = 10,760/x
  3. Step 3: Cross multiply
    34,134.17x = 51,203.82 × 10,760
  4. Step 4: Simplify right side
    34,134.17x = 550,953,103.20
  5. Step 5: Solve for x
    x = 550,953,103.20/34,134.17
  6. Step 6: Final answer
    x = 16,140.81

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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.