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Finding the Fourth Proportional to 68,138.82, 94,033.10 and 37,927.24

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Solution

The fourth proportional to 68,138.82, 94,033.10 and 37,927.24 is: 52,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,138.82 : 94,033.10 = 37,927.24 : x
  2. Step 2: Convert to fraction form
    68,138.82/94,033.10 = 37,927.24/x
  3. Step 3: Cross multiply
    68,138.82x = 94,033.10 × 37,927.24
  4. Step 4: Simplify right side
    68,138.82x = 3,566,415,811.38
  5. Step 5: Solve for x
    x = 3,566,415,811.38/68,138.82
  6. Step 6: Final answer
    x = 52,340.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.