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Finding the Fourth Proportional to 68,111.66, 102,188.37 and 34,855.38

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Solution

The fourth proportional to 68,111.66, 102,188.37 and 34,855.38 is: 52,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,111.66 : 102,188.37 = 34,855.38 : x
  2. Step 2: Convert to fraction form
    68,111.66/102,188.37 = 34,855.38/x
  3. Step 3: Cross multiply
    68,111.66x = 102,188.37 × 34,855.38
  4. Step 4: Simplify right side
    68,111.66x = 3,561,814,467.93
  5. Step 5: Solve for x
    x = 3,561,814,467.93/68,111.66
  6. Step 6: Final answer
    x = 52,293.76

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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.