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Finding the Fourth Proportional to 34,118.50, 51,170.69 and 9,152.63

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Solution

The fourth proportional to 34,118.50, 51,170.69 and 9,152.63 is: 13,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,118.50 : 51,170.69 = 9,152.63 : x
  2. Step 2: Convert to fraction form
    34,118.50/51,170.69 = 9,152.63/x
  3. Step 3: Cross multiply
    34,118.50x = 51,170.69 × 9,152.63
  4. Step 4: Simplify right side
    34,118.50x = 468,346,351.33
  5. Step 5: Solve for x
    x = 468,346,351.33/34,118.50
  6. Step 6: Final answer
    x = 13,727.05

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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.