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Finding the Fourth Proportional to 34,138.70, 51,208.05 and 22,328.90

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Solution

The fourth proportional to 34,138.70, 51,208.05 and 22,328.90 is: 33,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.70 : 51,208.05 = 22,328.90 : x
  2. Step 2: Convert to fraction form
    34,138.70/51,208.05 = 22,328.90/x
  3. Step 3: Cross multiply
    34,138.70x = 51,208.05 × 22,328.90
  4. Step 4: Simplify right side
    34,138.70x = 1,143,419,427.65
  5. Step 5: Solve for x
    x = 1,143,419,427.65/34,138.70
  6. Step 6: Final answer
    x = 33,493.35

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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.