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Finding the Fourth Proportional to 68,257.84, 102,321 and 34,993.52

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Solution

The fourth proportional to 68,257.84, 102,321 and 34,993.52 is: 52,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,257.84 : 102,321 = 34,993.52 : x
  2. Step 2: Convert to fraction form
    68,257.84/102,321 = 34,993.52/x
  3. Step 3: Cross multiply
    68,257.84x = 102,321 × 34,993.52
  4. Step 4: Simplify right side
    68,257.84x = 3,580,571,959.92
  5. Step 5: Solve for x
    x = 3,580,571,959.92/68,257.84
  6. Step 6: Final answer
    x = 52,456.57

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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.