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Finding the Fourth Proportional to 45,982.60, 68,957.70 and 16,401.40

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Solution

The fourth proportional to 45,982.60, 68,957.70 and 16,401.40 is: 24,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,982.60 : 68,957.70 = 16,401.40 : x
  2. Step 2: Convert to fraction form
    45,982.60/68,957.70 = 16,401.40/x
  3. Step 3: Cross multiply
    45,982.60x = 68,957.70 × 16,401.40
  4. Step 4: Simplify right side
    45,982.60x = 1,131,002,820.78
  5. Step 5: Solve for x
    x = 1,131,002,820.78/45,982.60
  6. Step 6: Final answer
    x = 24,596.32

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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.