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Finding the Fourth Proportional to 52,115.05, 71,919.21 and 30,599.20

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Solution

The fourth proportional to 52,115.05, 71,919.21 and 30,599.20 is: 42,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,115.05 : 71,919.21 = 30,599.20 : x
  2. Step 2: Convert to fraction form
    52,115.05/71,919.21 = 30,599.20/x
  3. Step 3: Cross multiply
    52,115.05x = 71,919.21 × 30,599.20
  4. Step 4: Simplify right side
    52,115.05x = 2,200,670,290.63
  5. Step 5: Solve for x
    x = 2,200,670,290.63/52,115.05
  6. Step 6: Final answer
    x = 42,227.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.