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Finding the Fourth Proportional to 31,506.49, 47,268.96 and 9,320.46

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Solution

The fourth proportional to 31,506.49, 47,268.96 and 9,320.46 is: 13,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.49 : 47,268.96 = 9,320.46 : x
  2. Step 2: Convert to fraction form
    31,506.49/47,268.96 = 9,320.46/x
  3. Step 3: Cross multiply
    31,506.49x = 47,268.96 × 9,320.46
  4. Step 4: Simplify right side
    31,506.49x = 440,568,450.92
  5. Step 5: Solve for x
    x = 440,568,450.92/31,506.49
  6. Step 6: Final answer
    x = 13,983.42

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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.