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Finding the Fourth Proportional to 68,284, 94,222.74 and 38,065.87

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Solution

The fourth proportional to 68,284, 94,222.74 and 38,065.87 is: 52,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,284 : 94,222.74 = 38,065.87 : x
  2. Step 2: Convert to fraction form
    68,284/94,222.74 = 38,065.87/x
  3. Step 3: Cross multiply
    68,284x = 94,222.74 × 38,065.87
  4. Step 4: Simplify right side
    68,284x = 3,586,670,571.88
  5. Step 5: Solve for x
    x = 3,586,670,571.88/68,284
  6. Step 6: Final answer
    x = 52,525.78

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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.