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Finding the Fourth Proportional to 68,338.13, 102,540 and 37,173.38

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Solution

The fourth proportional to 68,338.13, 102,540 and 37,173.38 is: 55,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,338.13 : 102,540 = 37,173.38 : x
  2. Step 2: Convert to fraction form
    68,338.13/102,540 = 37,173.38/x
  3. Step 3: Cross multiply
    68,338.13x = 102,540 × 37,173.38
  4. Step 4: Simplify right side
    68,338.13x = 3,811,757,872.50
  5. Step 5: Solve for x
    x = 3,811,757,872.50/68,338.13
  6. Step 6: Final answer
    x = 55,777.91

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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.