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Finding the Fourth Proportional to 68,401, 102,594.78 and 33,364.84

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Solution

The fourth proportional to 68,401, 102,594.78 and 33,364.84 is: 50,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,401 : 102,594.78 = 33,364.84 : x
  2. Step 2: Convert to fraction form
    68,401/102,594.78 = 33,364.84/x
  3. Step 3: Cross multiply
    68,401x = 102,594.78 × 33,364.84
  4. Step 4: Simplify right side
    68,401x = 3,423,058,419.54
  5. Step 5: Solve for x
    x = 3,423,058,419.54/68,401
  6. Step 6: Final answer
    x = 50,043.98

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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.