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Finding the Fourth Proportional to 68,738.40, 103,140 and 33,658.56

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Solution

The fourth proportional to 68,738.40, 103,140 and 33,658.56 is: 50,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,738.40 : 103,140 = 33,658.56 : x
  2. Step 2: Convert to fraction form
    68,738.40/103,140 = 33,658.56/x
  3. Step 3: Cross multiply
    68,738.40x = 103,140 × 33,658.56
  4. Step 4: Simplify right side
    68,738.40x = 3,471,543,878.40
  5. Step 5: Solve for x
    x = 3,471,543,878.40/68,738.40
  6. Step 6: Final answer
    x = 50,503.71

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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.