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Finding the Fourth Proportional to 34,138.25, 51,207.30 and 9,178.30

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Solution

The fourth proportional to 34,138.25, 51,207.30 and 9,178.30 is: 13,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.25 : 51,207.30 = 9,178.30 : x
  2. Step 2: Convert to fraction form
    34,138.25/51,207.30 = 9,178.30/x
  3. Step 3: Cross multiply
    34,138.25x = 51,207.30 × 9,178.30
  4. Step 4: Simplify right side
    34,138.25x = 469,995,961.59
  5. Step 5: Solve for x
    x = 469,995,961.59/34,138.25
  6. Step 6: Final answer
    x = 13,767.43

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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.