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Finding the Fourth Proportional to 68,195.76, 102,291.30 and 33,126

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Solution

The fourth proportional to 68,195.76, 102,291.30 and 33,126 is: 49,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,195.76 : 102,291.30 = 33,126 : x
  2. Step 2: Convert to fraction form
    68,195.76/102,291.30 = 33,126/x
  3. Step 3: Cross multiply
    68,195.76x = 102,291.30 × 33,126
  4. Step 4: Simplify right side
    68,195.76x = 3,388,501,603.80
  5. Step 5: Solve for x
    x = 3,388,501,603.80/68,195.76
  6. Step 6: Final answer
    x = 49,687.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.