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Finding the Fourth Proportional to 68,238.50, 102,205.42 and 52,326.33

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Solution

The fourth proportional to 68,238.50, 102,205.42 and 52,326.33 is: 78,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,238.50 : 102,205.42 = 52,326.33 : x
  2. Step 2: Convert to fraction form
    68,238.50/102,205.42 = 52,326.33/x
  3. Step 3: Cross multiply
    68,238.50x = 102,205.42 × 52,326.33
  4. Step 4: Simplify right side
    68,238.50x = 5,348,034,455.24
  5. Step 5: Solve for x
    x = 5,348,034,455.24/68,238.50
  6. Step 6: Final answer
    x = 78,372.68

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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.