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Finding the Fourth Proportional to 68,065, 93,934.50 and 38,257

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Solution

The fourth proportional to 68,065, 93,934.50 and 38,257 is: 52,797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,065 : 93,934.50 = 38,257 : x
  2. Step 2: Convert to fraction form
    68,065/93,934.50 = 38,257/x
  3. Step 3: Cross multiply
    68,065x = 93,934.50 × 38,257
  4. Step 4: Simplify right side
    68,065x = 3,593,652,166.50
  5. Step 5: Solve for x
    x = 3,593,652,166.50/68,065
  6. Step 6: Final answer
    x = 52,797.36

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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.