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Finding the Fourth Proportional to 34,138.75, 51,208.05 and 9,178.80

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Solution

The fourth proportional to 34,138.75, 51,208.05 and 9,178.80 is: 13,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.75 : 51,208.05 = 9,178.80 : x
  2. Step 2: Convert to fraction form
    34,138.75/51,208.05 = 9,178.80/x
  3. Step 3: Cross multiply
    34,138.75x = 51,208.05 × 9,178.80
  4. Step 4: Simplify right side
    34,138.75x = 470,028,449.34
  5. Step 5: Solve for x
    x = 470,028,449.34/34,138.75
  6. Step 6: Final answer
    x = 13,768.18

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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.