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Finding the Fourth Proportional to 31,388.72, 47,083.04 and 8,015.16

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Solution

The fourth proportional to 31,388.72, 47,083.04 and 8,015.16 is: 12,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388.72 : 47,083.04 = 8,015.16 : x
  2. Step 2: Convert to fraction form
    31,388.72/47,083.04 = 8,015.16/x
  3. Step 3: Cross multiply
    31,388.72x = 47,083.04 × 8,015.16
  4. Step 4: Simplify right side
    31,388.72x = 377,378,098.89
  5. Step 5: Solve for x
    x = 377,378,098.89/31,388.72
  6. Step 6: Final answer
    x = 12,022.73

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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.