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Finding the Fourth Proportional to 31,504.83, 47,257.85 and 9,318.16

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Solution

The fourth proportional to 31,504.83, 47,257.85 and 9,318.16 is: 13,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,504.83 : 47,257.85 = 9,318.16 : x
  2. Step 2: Convert to fraction form
    31,504.83/47,257.85 = 9,318.16/x
  3. Step 3: Cross multiply
    31,504.83x = 47,257.85 × 9,318.16
  4. Step 4: Simplify right side
    31,504.83x = 440,356,207.56
  5. Step 5: Solve for x
    x = 440,356,207.56/31,504.83
  6. Step 6: Final answer
    x = 13,977.42

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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.