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Finding the Fourth Proportional to 45,591.80, 68,380.86 and 14,423

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Solution

The fourth proportional to 45,591.80, 68,380.86 and 14,423 is: 21,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,591.80 : 68,380.86 = 14,423 : x
  2. Step 2: Convert to fraction form
    45,591.80/68,380.86 = 14,423/x
  3. Step 3: Cross multiply
    45,591.80x = 68,380.86 × 14,423
  4. Step 4: Simplify right side
    45,591.80x = 986,257,143.78
  5. Step 5: Solve for x
    x = 986,257,143.78/45,591.80
  6. Step 6: Final answer
    x = 21,632.34

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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.