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Finding the Fourth Proportional to 68,267.74, 102,357.87 and 33,188.26

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Solution

The fourth proportional to 68,267.74, 102,357.87 and 33,188.26 is: 49,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,267.74 : 102,357.87 = 33,188.26 : x
  2. Step 2: Convert to fraction form
    68,267.74/102,357.87 = 33,188.26/x
  3. Step 3: Cross multiply
    68,267.74x = 102,357.87 × 33,188.26
  4. Step 4: Simplify right side
    68,267.74x = 3,397,079,602.61
  5. Step 5: Solve for x
    x = 3,397,079,602.61/68,267.74
  6. Step 6: Final answer
    x = 49,761.13

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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.