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Finding the Fourth Proportional to 34,687.80, 52,049.70 and 16,219.80

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Solution

The fourth proportional to 34,687.80, 52,049.70 and 16,219.80 is: 24,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,687.80 : 52,049.70 = 16,219.80 : x
  2. Step 2: Convert to fraction form
    34,687.80/52,049.70 = 16,219.80/x
  3. Step 3: Cross multiply
    34,687.80x = 52,049.70 × 16,219.80
  4. Step 4: Simplify right side
    34,687.80x = 844,235,724.06
  5. Step 5: Solve for x
    x = 844,235,724.06/34,687.80
  6. Step 6: Final answer
    x = 24,338.12

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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.