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Finding the Fourth Proportional to 52,049.40, 71,825.45 and 30,536.16

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Solution

The fourth proportional to 52,049.40, 71,825.45 and 30,536.16 is: 42,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,049.40 : 71,825.45 = 30,536.16 : x
  2. Step 2: Convert to fraction form
    52,049.40/71,825.45 = 30,536.16/x
  3. Step 3: Cross multiply
    52,049.40x = 71,825.45 × 30,536.16
  4. Step 4: Simplify right side
    52,049.40x = 2,193,273,183.01
  5. Step 5: Solve for x
    x = 2,193,273,183.01/52,049.40
  6. Step 6: Final answer
    x = 42,138.30

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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.