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Finding the Fourth Proportional to 34,205.80, 51,222.30 and 22,455.40

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Solution

The fourth proportional to 34,205.80, 51,222.30 and 22,455.40 is: 33,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.80 : 51,222.30 = 22,455.40 : x
  2. Step 2: Convert to fraction form
    34,205.80/51,222.30 = 22,455.40/x
  3. Step 3: Cross multiply
    34,205.80x = 51,222.30 × 22,455.40
  4. Step 4: Simplify right side
    34,205.80x = 1,150,217,235.42
  5. Step 5: Solve for x
    x = 1,150,217,235.42/34,205.80
  6. Step 6: Final answer
    x = 33,626.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.