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Finding the Fourth Proportional to 31,388.62, 47,082.90 and 8,015.06

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Solution

The fourth proportional to 31,388.62, 47,082.90 and 8,015.06 is: 12,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388.62 : 47,082.90 = 8,015.06 : x
  2. Step 2: Convert to fraction form
    31,388.62/47,082.90 = 8,015.06/x
  3. Step 3: Cross multiply
    31,388.62x = 47,082.90 × 8,015.06
  4. Step 4: Simplify right side
    31,388.62x = 377,372,268.47
  5. Step 5: Solve for x
    x = 377,372,268.47/31,388.62
  6. Step 6: Final answer
    x = 12,022.58

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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.